ichigo has the right concept of logs. Logs is really the power to which the number or the base has to be raised to get the value. Logs is related to exponent as exponent deals with bases and powers, that is numbers(bases) multiplied by itself x amount of times where x is the power.Logs is an important aspect of maths. Logs were what people had to use with the aid of a logs table before calculators were made. Logs can be used in converting multiplication and division problems into addition and subtraction problems respectively like: log a b minus log a c equals log a(b divided by c). The basic strategy in logs is to either find the value of the power (x) or to find the value of relationship between logs.
I think I can safely say if you understand exponents, you should be able to understand logs. If you are given a mathematical question in exponent form it can be converted to log form and vice versa.example 3 to the power of 3 = 27, and log 27 to base 3=3. logs are very important in everyday life.
The log of a number(X) with reference to its base is the exponent we have to raise the base by, in order to get the original number(X). Logs are related to exponents in that it is another form of representing an exponent. eg. 2exp 3 = log base 2 8= 3. the basic strategy in logs involves the rules of logs whic is very similar to the rules concerning exponents
logs can be an easy way of working with very large or small numbers. for example, 12 to the power of 200 is a very large number to work with in a calculation. if it is stated in a simple exponent form, it would be easier to work with.
A log is a given number to a base and has a power to which you need to raise the base in order to get the number. For example, the logarithm of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000.
in a log question can you ignore the log when you have it to the top and the bottom of a division? eg log8/log4, can you ignore the log sign and say its 2?
Poison i believe that it would not matter in that instance because the bases in both logs are the saem i.e. base 10.Therefore it is posible to 'cancel' the log then simplify to the solution 2. I am 90% sure that this information is accurate can someone please clarify.
Well in ancient egypt their method of counting was in groups of tens (obviuosly it was very unsuccessful)so is the case with logs counting in groups of tens
Cruiser I did a bit of research to your question and interestingly enough I came across some applications of logs. Logs are used in calculating the magnitude of earthquaqes. It is also used in solving population based problems. in Physics logs are used in radioactive decay problems. I will get an actual example for you very soon after which i hope you can appreciate the value of practical applications of logs.
Moose i will try to explain this relation to you. Lets take an example:log base 2 8=3. The relation with this to an exponent is that the log format can be converted into an exponent format. The exponent format of the example given would be 2^3. The relation for this particular example is the base of the log becomes the base of the exponent and what the log equals to becomes the exponent number. I hope that this reveals a little light on the problem
yea its the master here again. to answer the comment posted by Posion. log8/log4 is not equal to 2.....actually its equal 1.5. well let me explain, although both of them is log to the base 10, u cant just cancel out the logs and divided the 8/4, simply because the log8 and the log4 acts as a WHOLE NUMBER. but don't get me wrong. log8 can be divided by log 4, by u have to rearrange it. in order to divided them u must put it in a (ylogx)/(zlogx) form. in this way the logx cancels the other logx, and u are then left with y/z which can be easily divided normally. so for the example, the log8/log4 would be changed to (log(2^3))/(log(2^2)), which then equates to (3log2)/(2log2) when u bring the powers infront the log. now u may notice the equation is of the form (ylogx)/(zlogx)...... so the log2 in the equation (3log2/2log2) can now be cancel out to give 3/2 which equates to 1.5. hope this helps u in equation to come. comments are accepted.
cookie, i totally agree with u. am sure that it will help in my future calculations. i think that logs and exponents are related, and can be used interchangibly to solve equations.for eg. log a b=c, in exponents this can be written as a to d power c=b
master thanks for clarifying that. most people would just assume that the answer would have been 2. My problem however was that I never knew how to calculate it without the use of a calculator. I have already seen applications of logs but what about e to the power of x
hey master cookies i think i understand what u are trying to say but can u really cancel out the log2 with the log2. or as miss said draw the line and then divide it EG. 3(LOG2)/2(LOG2)
OH YES I GOT IT IT CAN REALLY CANCEL BECAUSE IF YOU WORK IT OUT YOU WILL GET THE SAME ANS
to be honest, i hated logs, ever since i first met it, but b cuz of u mummy its now my 2nd favourite topic. ok i lie its my 3rd favourite. logs is a very important aspect of maths since it simplifies multiplication and division of numbers to the level of addition and subtraction. I ting logs simply is an alternative way of writing an index. For example its easy to find 2 raised to the power 3 x by 2 to the power 4 since both have the same base. but its harder to find 2 raised to the power three x by 3 raised to the power 2 since they have different bases. it would be convenient to multiply the 2 factors so that they may have some common base. here is where logs comes in. Logs can be defined in terms of indices by: log x to the base b = r if and only if b to the power r is equal to x where b and x are positive real numbers.
I have never done logs but its just like adding like terms together in same cases. also u can factor out in logs. all u are just doing is dressing up the equation to sute its environment. that is rearrange the problem by using the rules and then solve.
to undertand logs you first have to understand indices and to understand indices you have to be familiar with multiplaction and division of numbers, since indices deals with multiplying a value the number of times indicated by its power and division deals with findind the root of that number. Now logs basically re arranges the formula of the indice and can be used to find the power to which a value is raised or to find the value of the base if it is unknown
In mathematics, a logarithm of a given number to a given base is the power to which you need to raise the base in order to get the number.Logarithms are useful in solving equations in which exponents are unknown. They have simple derivatives, so they are often used in the solution of integrals. In the equation bn = x, b can be determined with radicals, n with logarithms, and x with exponentials. Logs are very useful and makes problems simplier.
logs to me is a simple way to figure out an unknown base or power. eg 2 to an unknown power is 8. apply logs and it will be basic calculations to obtain the answer. without logs it will be hard! you might have to use trial and error.
to solve logs is simply wat most of u already said which was that the equation had to be brought to like bases (pertaining to the logs part) and then from there normal calculations can be carried out but one has to understand the basics of powers (indices or at least i think this is the name) b4 going onto logs
hey u guys i need help i encounted a problem which kinda made me stick (8x^2)^8-r (1/2x)^r = 2^24 - 4r(x^16-3r)i was kinda close to the ans but got stock i wud greatly appreciate the working.
this logs things not really that hard i say follow ur rules i think its like for eg. log[2] 4x this means that 2 is the base and this multiply by somethin would give 4x +
i think a logarithm of a given number to a given base is the power to which you need to raise the base in order to get the number. For example, the logarithm of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000. it can reduce multiplication operations to addition, and exponents to multiplication and logarithms reduce division to subtraction. Logarithms make lengthy numerical operations easier to perform.
Yes logs are important in maths because it helps make life easy for example the log of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000.
i have a question think obout this pH= -log(H+). now find the pH of a solution with 0.56 concentration??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
do u know just as (-) is the Opposite of (+) and (/) is opposite of (*) the same is logs is the opposite of exponents. the basic function is to take any curve on a graph and convert it into a Straight line graph so that diductions can be made.and that concept is very important to almost all equations because they are curves and with curves no diductions can be made.
i've been reading all of the comment lately and i have to ask something... tell me if this statement that i found on the net sounds correct (i think it does)
"An exponent can be said to be the power of a number. Therefore, when a number is logged, with a certain base, a power is found. That is, logs are mainly used to find an exponent of a number."
Spartan117 i believe dat the statement dat you got from d net is correct but i would add lil extras like...
"An exponent can be said to be the power of a number. Therefore, when a number is logged, with a certain base, a power is found. That is, logs are mainly used to find an exponent of a number."... 2^3 = 8 => log base2(8)=3... 2-Base 3-Exponent 8-Number.
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63 comments:
the basic strategy in logs is to remember that 2 to de power 3 is 8 and that the log of 8 to base 2 is 3
Ratman
Explain what you mean. I have never done logs
To understand logs you need to know the basics what is power,exponent and base.
For example b to the power x equal y. b is called the base,x is the exponent and the expression that equals y is a power.
ichigo has the right concept of logs. Logs is really the power to which the number or the base has to be raised to get the value. Logs is related to exponent as exponent deals with bases and powers, that is numbers(bases) multiplied by itself x amount of times where x is the power.Logs is an important aspect of maths. Logs were what people had to use with the aid of a logs table before calculators were made. Logs can be used in converting multiplication and division problems into addition and subtraction problems respectively like:
log a b minus log a c
equals
log a(b divided by c).
The basic strategy in logs is to either find the value of the power (x) or to find the value of relationship between logs.
I think I can safely say if you understand exponents, you should be able to understand logs. If you are given a mathematical question in exponent form it can be converted to log form and vice versa.example 3 to the power of 3 = 27, and log 27 to base 3=3. logs are very important in everyday life.
logs can be used to calculate a number ( base) x amt of times ( power ) by itself
The log of a number(X) with reference to its base is the exponent we have to raise the base by, in order to get the original number(X). Logs are related to exponents in that it is another form of representing an exponent. eg. 2exp 3 = log base 2 8= 3. the basic strategy in logs involves the rules of logs whic is very similar to the rules concerning exponents
Cruiser I can't understand the syntax of the second part of your request? Could you please clarify
ratman
what do you mean by 2 to the power 3 is 8???
Iam confused
How would you relate logs to a real life situation in industry??
logs can be an easy way of working with very large or small numbers. for example, 12 to the power of 200 is a very large number to work with in a calculation. if it is stated in a simple exponent form, it would be easier to work with.
cruiser 2 to the power of 3 equals 8 simply means that if you multiply 2x2x2 the result would be 8.
A log is a given number to a base and has a power to which you need to raise the base in order to get the number. For example, the logarithm of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000.
in a log question can you ignore the log when you have it to the top and the bottom of a division? eg log8/log4, can you ignore the log sign and say its 2?
Poison I believe so because if once the numerator and denominator are the same.
logs is basically the power you must raise the base to , in order to get the given number.
I think what Ratman is trying to say is that 2 to the power 3 means 2*2*2= 8 . That is up to where I understand.
i think that logs is a very important aspect of maths because there are many aspects where the power is an unknown.
Poison i believe that it would not matter in that instance because the bases in both logs are the saem i.e. base 10.Therefore it is posible to 'cancel' the log then simplify to the solution 2. I am 90% sure that this information is accurate can someone please clarify.
logs is a form of indices which is known as a shorthand way of multiplying a number by itself a high amount of times.
Well in ancient egypt their method of counting was in groups of tens (obviuosly it was very unsuccessful)so is the case with logs counting in groups of tens
the basic strategy in logs is that the anwer is the power to which the number in subscript is to be raised
Cruiser I did a bit of research to your question and interestingly enough I came across some applications of logs. Logs are used in calculating the magnitude of earthquaqes. It is also used in solving population based problems. in Physics logs are used in radioactive decay problems. I will get an actual example for you very soon after which i hope you can appreciate the value of practical applications of logs.
Thanks variable 47 But you need to brush up on your spelling.Earthquakes the size of earthquakes. hmm waht ia typical equation used.
Variable dont forget to send the equation
Moose i will try to explain this relation to you. Lets take an example:log base 2 8=3. The relation with this to an exponent is that the log format can be converted into an exponent format. The exponent format of the example given would be 2^3. The relation for this particular example is the base of the log becomes the base of the exponent and what the log equals to becomes the exponent number. I hope that this reveals a little light on the problem
I still have a problem which I encountered when I was doing the quiz this morning.The problem was log32 to base 8= x
the basic strategy in logs is that the log of a number is the power to which the base must be raised to give that number...
Cruiser from the quiz this morning the answer is quite simple:
* log base 8 32 = x
* 8 to the power of x = 32
* 2 to the power of 3x = 2 to the power of 5
NOTE:
SINCE THE BASES ARE THE SAME YOU EQUATE THE POWERS
* 3x = 5
* x = 5/3
and thats your ans
hope i made it clear enough for you to understand!!!!!!!!
yea its the master here again. to answer the comment posted by Posion. log8/log4 is not equal to 2.....actually its equal 1.5. well let me explain, although both of them is log to the base 10, u cant just cancel out the logs and divided the 8/4, simply because the log8 and the log4 acts as a WHOLE NUMBER. but don't get me wrong. log8 can be divided by log 4, by u have to rearrange it. in order to divided them u must put it in a (ylogx)/(zlogx) form. in this way the logx cancels the other logx, and u are then left with y/z which can be easily divided normally. so for the example, the log8/log4 would be changed to
(log(2^3))/(log(2^2)), which then equates to (3log2)/(2log2) when u bring the powers infront the log.
now u may notice the equation is of the form (ylogx)/(zlogx)...... so
the log2 in the equation (3log2/2log2) can now be cancel out
to give 3/2 which equates to 1.5.
hope this helps u in equation to come. comments are accepted.
cookie, i totally agree with u. am sure that it will help in my future calculations. i think that logs and exponents are related, and can be used interchangibly to solve equations.for eg.
log a b=c, in exponents this can be written as a to d power c=b
logs is about a certain number to a certain base which gives an answer.
eg log of 8 to the base 2 is 3. this means that 2 to the power of 3 is 8.
master thanks for clarifying that. most people would just assume that the answer would have been 2. My problem however was that I never knew how to calculate it without the use of a calculator. I have already seen applications of logs but what about e to the power of x
hey master cookies i think i understand what u are trying to say but can u really cancel out the log2 with the log2. or as miss said draw the line and then divide it
EG. 3(LOG2)/2(LOG2)
OH YES I GOT IT IT CAN REALLY CANCEL BECAUSE IF YOU WORK IT OUT YOU WILL GET THE SAME ANS
oh yea i forgot to add, logs is an important part of daily life. Bus networks use this concept when there is a collision on the network.
can someone tel me why do we really use logs?
to be honest, i hated logs, ever since i first met it, but b cuz of u mummy its now my 2nd favourite topic. ok i lie its my 3rd favourite. logs is a very important aspect of maths since it simplifies multiplication and division of numbers to the level of addition and subtraction. I ting logs simply is an alternative way of writing an index. For example its easy to find 2 raised to the power 3 x by 2 to the power 4 since both have the same base. but its harder to find 2 raised to the power three x by 3 raised to the power 2 since they have different bases. it would be convenient to multiply the 2 factors so that they may have some common base. here is where logs comes in. Logs can be defined in terms of indices by: log x to the base b = r if and only if b to the power r is equal to x where b and x are positive real numbers.
I have never done logs but its just like adding like terms together in same cases. also u can factor out in logs. all u are just doing is dressing up the equation to sute its environment. that is rearrange the problem by using the rules and then solve.
to undertand logs you first have to understand indices and to understand indices you have to be familiar with multiplaction and division of numbers, since indices deals with multiplying a value the number of times indicated by its power and division deals with findind the root of that number. Now logs basically re arranges the formula of the indice and can be used to find the power to which a value is raised or to find the value of the base if it is unknown
many other aspects of maths fall in when making calcutions using logs like disivion, multiplications,crossmultiplying,etc...
In mathematics, a logarithm of a given number to a given base is the power to which you need to raise the base in order to get the number.Logarithms are useful in solving equations in which exponents are unknown. They have simple derivatives, so they are often used in the solution of integrals. In the equation bn = x, b can be determined with radicals, n with logarithms, and x with exponentials. Logs are very useful and makes problems simplier.
logs to me is a simple way to figure out an unknown base or power. eg 2 to an unknown power is 8. apply logs and it will be basic calculations to obtain the answer. without logs it will be hard! you might have to use trial and error.
The basic strategy in logs is simply tryin to bring all terms to the same base and using the laws to simplify or solve.
to know log or logarithms you must know exponent because the log of a number is the exponent to which a base must be raise to get that number
mastercookie, thanks for clearing up that log equation there. I had made that mistake before.
the basic strategy in logs is to bring all the terms to a common base then solve.isn't that so?
to solve logs is simply wat most of u already said which was that the equation had to be brought to like bases (pertaining to the logs part) and then from there normal calculations can be carried out but one has to understand the basics of powers (indices or at least i think this is the name) b4 going onto logs
hey u guys i need help i encounted a problem which kinda made me stick (8x^2)^8-r (1/2x)^r = 2^24 - 4r(x^16-3r)i was kinda close to the ans but got stock i wud greatly appreciate the working.
this logs things not really that hard i say follow ur rules i think its like for eg. log[2] 4x this means that 2 is the base and this multiply by somethin would give 4x +
i think a logarithm of a given number to a given base is the power to which you need to raise the base in order to get the number. For example, the logarithm of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000. it can reduce multiplication operations to addition, and exponents to multiplication and logarithms reduce division to subtraction. Logarithms make lengthy numerical operations easier to perform.
a log of a given number to a given base is the power to which you need to raise the base in order to get the number
Yes logs are important in maths because it helps make life easy for example the log of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000.
i have a question think obout this pH= -log(H+). now find the pH of a solution with 0.56 concentration??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
do u know just as (-) is the Opposite of (+) and (/) is opposite of (*) the same is logs is the opposite of exponents. the basic function is to take any curve on a graph and convert it into a Straight line graph so that diductions can be made.and that concept is very important to almost all equations because they are curves and with curves no diductions can be made.
logs is a function which takes exponents and numbers to make sense on the graph
log is important by plotting number on a graph and in turn using graph to determine, things like making cars , designing building elc
the basic stratey in logs is to take exponents and convert it into numbers
i've been reading all of the comment lately and i have to ask something... tell me if this statement that i found on the net sounds correct (i think it does)
"An exponent can be said to be the power of a number. Therefore, when a number is logged, with a certain base, a power is found. That is, logs are mainly used to find an exponent of a number."
Copy cat i tried to answer your quesn., this is wat i came up wit
pH = -log(H+),
using H = 0.56,
pH = -log(0.56)
= 0.25
... anyone can correct me if i'm incorrect ah jus tryin ah lil ting!!!
Spartan117 i believe dat the statement dat you got from d net is correct but i would add lil extras like...
"An exponent can be said to be the power of a number. Therefore, when a number is logged, with a certain base, a power is found. That is, logs are mainly used to find an exponent of a number."...
2^3 = 8 => log base2(8)=3...
2-Base
3-Exponent
8-Number.
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