11. Inverse, Exponential, & Logarithmic Functions

Rewrite the logarithmic equation as an exponential equation.

${\log }_{4}x=1.5$

Evaluate the given logarithm.

${\log }_y\sqrt{y}$

Rewrite the exponential equation as a logarithmic equation.

$2^y=3.249$

Rewrite the exponential equation as a logarithmic equation.

$3^x=9$

Rewrite the logarithmic equation as an exponential equation.

${\log }_3\left(\frac{1}{27}\right)=-3$

Evaluate the given expression.

$5^{{\log }_{5}12}$

Evaluate the given logarithmic expression.

$lo{g}_5\left(\frac{1}{125}\right)$

Evaluate the given logarithmic expression.

$lo{g}_{2}128$

Rewrite the exponential equation as a logarithmic equation.

$6^{-3}=\frac{1}{216}$

Evaluate the given logarithm.

${\log }_{x}1$

Evaluate the given logarithmic expression.

$lo{g}_{10}0.1$

Rewrite the logarithmic equation as an exponential equation.

${\log }_5\left(25\right)=2$