Question

Rewrite the logarithmic equation log4(1/16) = -2 in exponential form.

Answer 1

use this
\(\Large \log_ab=c \implies b =a^c\)

so,
\(\large \log_4(1/16) = -2 \implies ????\)

Answer 2

\(\bf log_{\color{red}{ a}}{\color{blue}{ b}}=y\implies {\color{red}{ a}}^y={\color{blue}{ b}}
\\ \quad \\
log_{\color{red}{ 4}}\left({\color{blue}{ \frac{1}{16}}}\right)=-2i\implies ?\)