How do you calculate $log_4 (1/16)$ ?

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Answer 1 · 2016-08-05T07:05:29

$log_4(1/16)=?$

$log_a b=x$

$b=a^x$

$log_4(1/16)=k$

$1/16=4^k$

$1/(4^2)=4^k$

$color(green)(4)^(-2)=color(green)(4)^k$

$k=-2$

$log_4(1/16)=-2$

How do you calculate log_4 (1/16) log_4 (1/16) ?