How do you solve 8x=64?

2 Answers
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=82.

This gives us the equation:

8x=82

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

x=2