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Magazine Problem 55
\(55-62\) . Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$ \log _{2} 5 $$
Problem 55
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 \(\$ 10,000\) if interest is paid at a rate of 9\(\%\) per year, compounded semiannully, for 3 years.
Problem 56
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.
Problem 56
For what value of \(x\) is it true that \((\log x)^{3}=3 \log x ?\)
Problem 56
\(55-62\) . Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$ \log _{5} 2 $$
Problem 57
Solve for \(x . \quad 2^{2 / \log _{5} x}=\frac{1}{16}\)
Problem 57
Annual Percentage Yield Find the annual percentage yield for an investment that earns 8\(\%\) per year, compounded monthly.
Problem 57
\(55-62\) . Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal places. Use either natural or common logarithms. $$ \log _{3} 16 $$
Problem 58
Annual Percentage Yield Find the annual percentage yield for an investment that earns 5\(\frac{1}{2} \%\) per year, compounded quarterly.
Problem 58
Solve the logarithmic equation for \(x.\) Solve for \(x : \log _{2}\left(\log _{3} x\right)=4\)
