# How do you solve #8^x=64#?

##### 2 Answers

Mar 17, 2016

X * log 8 = log 64 ; x = log 64/log8 ; x = 1.81/0.9 = 2.

Mar 17, 2016

#### Explanation:

Use the fact that

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#