# How do you solve 8^(2x) = 8^(x+7) and find any extraneous solutions?

Jun 25, 2016

The solution is $x = 7$.

#### Explanation:

The identity is verified when the exponents are the same because the bases of the exponentials are both $8$.

Then we have to search the solution of

$2 x = x + 7$

$x = 7$.