91Ó°ÊÓ

Convert from exponential to logarithmic form:

${\left(\frac{1}{3}\right)}^4=\frac{1}{81}$.

Convert from exponential to logarithmic form:

$3^{-2}=\frac{1}{9}$.

Convert from exponential to logarithmic form:

$4^{-3}=\frac{1}{64}$.

In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one:

$\left\{\right(9,−3),(4,−2),(1,−1),(0,0),(1,1),(4,2),(9,3\left)\right\}$

Convert from exponential to logarithmic form:

$e^x=6$.

Convert from exponential to logarithmic form:

$e^3=x$.

Convert each logarithmic equation to exponential form:

$3={\log }_4\left(64\right)$.

Convert each logarithmic equation to exponential form:

$6={\log }_2\left(64\right)$.

Convert each logarithmic equation to exponential form:

$4={\log }_x\left(81\right)$.

In the following exercises, convert each logarithmic equation to exponential form.

$5={\log }_{x}32$