91Ó°ÊÓ

Complete the table to determine the balance \(A\) for \(\$ 12,000\) invested at rate \(r\) for \(t\) years, compounded continuously.. $$\begin{array}{|c|c|c|c|c|c|c|} \hline t & 1 & 10 & 20 & 30 & 40 & 50 \\ \hline A & & & & & & \\ \hline \end{array}$$ $$r=6 \%$$

Solve the exponential equation algebraically. Round your result to three decimal places. Use a graphing utility to verify your answer. $$e^{2 x}-4 e^{x}-5=0$$

Use the properties of logarithms to condense the expression.$$\log _{4} z-\log _{4} y$$.

Write the exponential equation in logarithmic form. For example, the logarithmic form of \(e^{2}=7.3890 . . .\) is \(\ln 7.3890 . . .=2.\) $$e^{1.3}=3.6692 . . .$$

Complete the table to determine the balance \(A\) for \(\$ 12,000\) invested at rate \(r\) for \(t\) years, compounded continuously.. $$\begin{array}{|c|c|c|c|c|c|c|} \hline t & 1 & 10 & 20 & 30 & 40 & 50 \\ \hline A & & & & & & \\ \hline \end{array}$$ $$r=3.5 \%$$

Solve the exponential equation algebraically. Round your result to three decimal places. Use a graphing utility to verify your answer. $$e^{2 x}-e^{x}-6=0$$

Complete the table to determine the balance \(A\) for \(\$ 12,000\) invested at rate \(r\) for \(t\) years, compounded continuously.. $$\begin{array}{|c|c|c|c|c|c|c|} \hline t & 1 & 10 & 20 & 30 & 40 & 50 \\ \hline A & & & & & & \\ \hline \end{array}$$ $$r=2.5 \%$$

Write the exponential equation in logarithmic form. For example, the logarithmic form of \(e^{2}=7.3890 . . .\) is \(\ln 7.3890 . . .=2.\) $$e^{2.5}=12.1824 . . .$$

Use the properties of logarithms to condense the expression.$$\log _{5} 8-\log _{5} t$$.

Use the properties of logarithms to condense the expression.$$4 \log _{3}(x+2)$$.