dinainjune 4 years ago anyone can help me with logarithm?

1. joemath314159

2. bnut056

ok whats the question

3. saifoo.khan

i can try.

4. Realstrongguy

i can

5. dinainjune

this is the question

6. saifoo.khan

0.323

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

where 10 is a base

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

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

11. dinainjune

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

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

13. joemath314159

Wrote out a solution, posting in a sec

14. joemath314159

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

15. joemath314159

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

16. Evern

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)

17. dinainjune

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