How to solve and check: log x^2 - log 8 = log 8

log x^2 - log 8 = log 8

First
we will add log 8 to both sides.

==> log x^2 = log 8
+ log 8

==> log x^2 = 2*log
8

But we know that a*log b = log
b^a

==> 2*log 8 = log
8^2

==> log x^2 = log
8^2

Since the log are equal then x^2 =
8^2

==> x = 8

To check
we will substitute :

log 8^2 - log 8 = log
8

==> 2log 8 - log 8 = log
8

==> log 8 = log
8

Then the answer is x =
8