How do you evaluate $log_6 ( 1296 )$ ?

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Answer 1 · 2016-05-03T10:43:08

$log_6(1296)=4$

$6^1=6$
$6^2=6xx6=36$
$6^3=36xx6=216$
$6^4=216xx6=1296$

$log_b(e)=k$ is equivalent to saying $b^k=e$

Therefore if $6^4=1296$ then $log_6(1296)=4$

How do you evaluate log_6 ( 1296 )log_6 ( 1296 )?