How do you evaluate $log_144 (1/12)$ ?

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Answer 1 · 2016-09-26T04:47:40

$-1/2$

Let $x=log_144(1/12)$

$:. 144^x=1/12$

Since $144=12^2$

$12^(2x)=1/12$

$12^(2x)=12^-1$

Equating exponents:

$2x=-1$

$x=-1/2$

How do you evaluate log_144 (1/12)log_144 (1/12)?