91Ó°ÊÓ

Solve for \(x .\) See Example 3. $$ \log _{36} x=-\frac{1}{2} $$

Use a calculator to evaluate each expression, if possible. Express all answers to four decimal places. See Using Your Calculator: Evaluating Base-e (Natural) Logarithms. $$ \ln (-0.1) $$

Solve each equation. Give the exact solution and, when appropriate, an approximation to four decimal places. $$ \log 3 x=\log 9 $$

Solve each equation. Express all answers to four decimal places. $$ \ln x=4.24 $$

Explain why the graph of \(f(x)=3^{x}\) gets closer and closer to the \(x\) -axis as the values of \(x\) decrease. Does the graph ever cross the \(x\) -axis? Explain why or why not.

Solve each equation. Express all answers to four decimal places. $$ \ln x=-0.28 $$

Solve for \(x .\) See Example 3. $$ \log _{100} x=\frac{3}{2} $$

Find the inverse of each function. Then graph the function and its inverse on one coordinate system. Show the line of symmetry on the graph. $$ f(x)=x^{2}-1(x \geq 0) $$

Solve each equation. Give the exact solution and, when appropriate, an approximation to four decimal places. $$ 3^{x-6}=81 $$

Solve each equation. Give the exact solution and, when appropriate, an approximation to four decimal places. $$ 15=9^{x+2} $$