# How do you solve 8^x=64?

Mar 17, 2016

Use a logarithm table or calculator to solve the log form.
X * log 8 = log 64 ; x = log 64/log8 ; x = 1.81/0.9 = 2.

Mar 17, 2016

$x = 2$

#### Explanation:

Use the fact that $64 = {8}^{2}$.

This gives us the equation:

${8}^{x} = {8}^{2}$

Since the bases are equal, we know their exponents must also be equal, giving the answer:

$x = 2$