Question

Which logarithmic equation is equivalent to 8^2=64

Answer 1

Answer:

$log_8(64)= 2$

Step-by-step explanation:

$8^2= 64$, to write it in log form we use log rule

If $b^x=a$ then log form is $x=log_b(a)$

We apply this rule in our exponential equation

the base of exponential equation is 8

base 8 becomes the base of log

$8^2= 64$

$log_8(64)= 2$

Answer 2

Unfortunately, you haven't yet shared the answer choices.  Posting a question almost always requires your sharing the list of possible answers.

Given   8^2=64   you could find the log of both sides:

log 8^2 = log 64   becomes 2 log 8 = log 64.  You could use ln in place of log if you want.