Chapter 10: Exponential and Logarithmic Functions

In the following exercises, solve each logarithmic equation.

${\log }_a\left(32\right)=5$

In the following exercises, solve each logarithmic equation.

$\ln \left(x\right)=-3$

In the following exercises, solve each logarithmic equation.

${\log }_2\left(5x-7\right)=3$

In the following exercises, solve each logarithmic equation.
$\ln e^{3x}=24$.

In the following exercises, find the inverse of each function.

$f\left(x\right)=9x$

In the following exercises, solve each logarithmic equation.

$\log (x^2-21)=2$.

What is the decibel level of a train whistle with intensity ${10}^{-3}$watts per square inch?

In the following exercises, use the properties of logarithms to evaluate.

(a)${\log }_{7}1$

(b)${\log }_{12}12$

In the following exercises, use the properties of logarithms to evaluate.
(a)$5^{{\log }_{5}13}$
(b)${\log }_3{\left(3\right)}^{-9}$

In the following exercises, use the properties of logarithms to evaluate.
(a)${10}^{\log \sqrt{5}}$

(b)$\log {\left(10\right)}^{-3}$