91Ó°ÊÓ

Present Value The present value of a sum of money is the amount that must be invested now, at a given rate of interest, to produce the desired sum at a later date. Find the present value of \(\$ 100,000\) if interest is paid at a rate of \(8 \%\) per year, compounded monthly, for 5 years.

Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$\log _{5} 2$$

For what value of \(x\) is it true that \((\log x)^{3}=3 \log x ?\)

Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$\log _{3} 16$$

Present Value The present value of a sum of money is the amount that must be invested now, at a given rate of interest, to produce the desired sum at a later date. Annual Percentage Yield Find the annual percentage yield for an investment that earns \(8 \%\) per year, compounded monthly.

Solve for \(x: 2^{2 / \log _{5} x}=\frac{1}{16}\)

Solve for \(x: \) $$\log _{2}\left(\log _{3} x\right)=4$$

Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$\log _{6} 92$$

Use a graphing device to find all solutions of the equation, rounded to two decimal places. $$\ln x=3-x$$

Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$\log _{7} 2.61$$