91Ó°ÊÓ

Use a calculator to find an approximation for each power. Give the maximum number of decimal places that your calculator displays. $$4.1^{-\sqrt{3}}$$$

For each statement, write an equivalent statement in exponential form. Do not use a calculator. $$\log _{10} 0.001=-3$$

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically. $$f(x)=\ln \left(x^{4}+8\right)$$

Use a calculator to find an approximation for each power. Give the maximum number of decimal places that your calculator displays. $$6 .4^{-\sqrt{3}}$$

Solve each exponential equation. Express the solution set so that (a) solutions are in exact form and, if irrational, (b) solutions are approximated to the nearest thousandth. Support your solutions by using a calculator. $$0.6^{x}=3$$

For each statement, write an equivalent statement in exponential form. Do not use a calculator. $$\log _{3} \sqrt[3]{9}=\frac{2}{3}$$

Solve each exponential equation. Express the solution set so that (a) solutions are in exact form and, if irrational, (b) solutions are approximated to the nearest thousandth. Support your solutions by using a calculator. $$4^{x-1}=3^{2 x}$$

Use a calculator to find an approximation for each power. Give the maximum number of decimal places that your calculator displays. $$\sqrt{7} \sqrt{7}$$

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically. $$f(x)=\ln \left(-x^{2}+4\right)$$

For each statement, write an equivalent statement in exponential form. Do not use a calculator. $$\log \sqrt{10}=0.5$$