Question

log8 32 = ??

Answer 1

is it \[\log_{8} 32 \]

Answer 2

is that the question bratgirl?

Answer 3

yes

Answer 4

are u good with logarithmic math??

Answer 5

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)

Answer 6

it that the easiest wat to do it?

Answer 7

yes. let me put it this way:
\[\log_{8}32=n \implies 8^{n}=32 \]

u understand what im doing so far?

Answer 8

yes and what is next?

Answer 9

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

Answer 10

therefore:

\[n= \ln 32 / \ln 8\]

Answer 11

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

Answer 12

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

Answer 13

thank you

Answer 14

hope it helps u understanding logarithm