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How do you evaluate $log_4 64$ ?

1 Answer

Jul 9, 2015

$64=4^3$ so you may rewrite:

Explanation:

$log_4 64=log_4 4^3$

The exponent rule:

$=3*log_4 4$

And since $log_x x=1$ (always!):

$=3*1=3$

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