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

2 Answers
SCooke
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.

mason m
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#

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