91Ó°ÊÓ

Solving an Exponential or Logarithmic Equation In Exercises 1-16, solve for \(x\) accurate to three decimal places. $$ e^{\ln 3 x}=24 $$

Finding an Indefinite Integral In Exercises \(1-20\) , find the indefinite integral. $$ \int \frac{d x}{\sqrt{1-4 x^{2}}} $$

Finding an Indefinite Integral In Exercises \(1-26,\) find the indefinite integral.. $$ \int \frac{10}{x} d x $$

In Exercises 1–6, evaluate the function. If the value is not a rational number, round your answer to three decimal places. $$ \begin{array}{l}{\text { (a) } \cosh 0} \\ {\text { (b) } \operatorname{sech} 1}\end{array} $$

Finding an Indefinite Integral In Exercises \(1-26,\) find the indefinite integral.. $$ \int \frac{1}{x+1} d x $$

Evaluating a Logarithmic Expression In Exercises \(1-4\) , evaluate the expression without using a calculator. $$ \log _{7} 1 $$

Finding an Indefinite Integral In Exercises \(1-20\) , find the indefinite integral. $$ \int \frac{1}{x \sqrt{4 x^{2}-1}} d x $$

In Exercises 1–6, evaluate the function. If the value is not a rational number, round your answer to three decimal places. $$ \begin{array}{l}{\text { (a) } \operatorname{csch}(\ln 2)} \\ {\text { (b) } \operatorname{coth}(\ln 5)}\end{array} $$

Solving an Exponential or Logarithmic Equation In Exercises 1-16, solve for \(x\) accurate to three decimal places. $$ e^{x}=12 $$

Show that \(f\) and \(g\) are inverse functions (a) analytically and (b) graphically. \(f(x)=x^{3}, \quad \quad g(x)=\sqrt[3]{x}\)