## anonymous 5 years ago log8 32 = ??

1. anonymous

is it $\log_{8} 32$

2. anonymous

is that the question bratgirl?

3. anonymous

yes

4. anonymous

are u good with logarithmic math??

5. anonymous

to get the answer, u use property: $\log_{a} b = \log_{c}b /\log_{c}a$ you let c=10 (use base 10. also called common logarithm)

6. anonymous

it that the easiest wat to do it?

7. anonymous

yes. let me put it this way: $\log_{8}32=n \implies 8^{n}=32$ u understand what im doing so far?

8. anonymous

yes and what is next?

9. anonymous

$8^{n}=32 \implies \ln 8^{n} = \ln32 \implies n \ln8= \ln32$

10. anonymous

therefore: $n= \ln 32 / \ln 8$

11. anonymous

$n= \ln 2^{5}/ \ln 2^{3} = 5\ln 2/3\ln2= 5/3.$

12. anonymous

this is the other way to solve it but a bit longer. better use the property i gave u earlier.

13. anonymous

thank you

14. anonymous

hope it helps u understanding logarithm