How do you evaluate $log_15 (1/225)$ ?

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Answer 1 · 2016-10-04T07:28:03

$log_15 (1/225)=-2$

$log_2 8=3$ is another way of writing $2^3=8$
That is the easy one to remember!!
So $log_15 (1/225)=x$ is the same thing as $15^x=(1/225)$

$15^x=(1/15^2)$
$15^x=15^-2$
So $x=-2$

How do you evaluate log_15 (1/225)log_15 (1/225)?