Question

Which logarithmic equation is equivalent to 8^2=64

Answer 1

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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.

Answer 2

`log_8(64)= 2`

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`