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Mathematics 21 Online
OpenStudy (anonymous):

anyone can help me with logarithm?

OpenStudy (anonymous):

What about logarithms?

OpenStudy (anonymous):

ok whats the question

OpenStudy (saifoo.khan):

i can try.

OpenStudy (anonymous):

i can

OpenStudy (anonymous):

this is the question

OpenStudy (saifoo.khan):

0.323

OpenStudy (anonymous):

logarthims usually have a base like:\[\log_{10} 2\]

OpenStudy (anonymous):

where 10 is a base

OpenStudy (anonymous):

since there is no base im assuming that they are the same. then you can use rules of logarithems

OpenStudy (anonymous):

http://www.purplemath.com/modules/logrules.htm gives an overview of the log rules that you can use

OpenStudy (anonymous):

4 or 8 is the base. the example like this \[^{4} \log_{3} \]

OpenStudy (anonymous):

? do you mean \[\log_{3} 4\]

OpenStudy (anonymous):

Wrote out a solution, posting in a sec

OpenStudy (anonymous):

You can simplify the denominator a lot to look like the numerator, and all the logs cancel out leaving a fraction

OpenStudy (anonymous):

I work with the denominator first and simplify as much as i can, then i look at the fraction as a whole.

OpenStudy (anonymous):

all the logarithms are of the same base... so that doesn't need to be changed then look at the arguments of the log function .Notice that alot of them are multiples of 3.Using the basic log rules that joe gave you a link to.convert all the arguments to either 2 or 3. cancel out the 4log3 types terms.....giving you (log2 +log3)/(16log2+16log3)

OpenStudy (anonymous):

@kanade no, it's \[^{4} \log_{3} \] like \[^{10}\log_{10} \] Thank you! i got it now

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