How do you calculate $log_32 64$ ?

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Answer 1 · 2016-04-09T17:29:10

$6/5$

First you should see that
$64=2^6$
$32=2^5$

Then it's convenient to convert the $log_32$ to $log_2$ using this property
$log_a^b=log_c^b/log_c^a$

So
$log_32^64=log_2^64/(log_2^32) =log_2^(2^6)/(log_2^(2^5))=6/5$

How do you calculate log_32 64 log_32 64?