Question

Which logarithmic equation correctly rewrites this exponential equation? 8x = 64

Answer 1

The logarithmic equation of 8^x = 64 is $x = \log_8(64)$

How to determine the logarithmic equation?

The exponential equation is given as:

8^x = 64

Take the logarithm of both sides

xlog(8) = log(64)

Divide both sides by log(8)

x = log(64)/log(8)

Apply the change of base rule

$x = \log_8(64)$

Hence, the logarithmic equation of 8^x = 64 is $x = \log_8(64)$

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