Chapter 8

Write each expression as a single natural logarithm. $$ 3 \ln 5 $$

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 2^{x}=3 $$

State the property or properties used to rewrite each expression. \(\log 4+\log 5=\log 20\)

Graph each function. Label the asymptote of each graph. $$ y=-5^{x} $$

Graph each function. $$ y=6^{x} $$

Write each expression as a single natural logarithm. \(\ln 9+\ln 2\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 4^{x}=19 $$

State the property or properties used to rewrite each expression. \(\log _{3} 32-\log _{3} 8=\log _{3} 4\)

Graph each function. Label the asymptote of each graph. $$ y=-\left(\frac{1}{2}\right)^{x} $$

Seismology In \(1812,\) an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the amount of energy released by that earthquake to the amount of energy released by each earthquake below. magnitude 9.5 in Valdivia, Chile, in 1960

Graph each function. $$ y=3(10)^{x} $$

Write each expression as a single natural logarithm. \(\ln 24-\ln 6\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 5^{x}=81.2 $$

State the property or properties used to rewrite each expression. \(\log z^{2}=2 \log z\)

Graph each function. Label the asymptote of each graph. $$ y=-2(4)^{x} $$

Seismology In \(1812,\) an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the amount of energy released by that earthquake to the amount of energy released by each earthquake below. magnitude 3.2 in Charlottesville, Virginia, in 2001

Graph each function. $$ y=1000(2)^{x} $$

Write each expression as a single natural logarithm. \(4 \ln 8+\ln 10\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 3^{x}=27.3 $$

State the property or properties used to rewrite each expression. \(\log _{6} \sqrt[n]{x^{p}}=\frac{p}{n} \log _{6} x\)

Graph each function. Label the asymptote of each graph. $$ y=-9(3)^{x} $$

Seismology In \(1812,\) an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the amount of energy released by that earthquake to the amount of energy released by each earthquake below. magnitude 6.9 in Kobe, Japan, in 1995

Graph each function. $$ y=9(3)^{x} $$

Write each expression as a single natural logarithm. \(\ln 3-5 \ln 3\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 8+10^{x}=1008 $$

State the property or properties used to rewrite each expression. \(8 \log 2-2 \log 8=\log 4\)

Graph each function. Label the asymptote of each graph. $$ y=-3(2)^{x} $$

Seismology In \(1812,\) an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the amount of energy released by that earthquake to the amount of energy released by each earthquake below. magnitude 9.2 in Prince William Sound, Alaska, in 1964

Graph each function. $$ f(x)=2(3)^{x} $$

Write each expression as a single natural logarithm. \(2 \ln 8-3 \ln 4\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 5-3^{x}=-40 $$

State the property or properties used to rewrite each expression. \(\log \sqrt[3]{3 x}=\frac{1}{3} \log 3 x\)

Graph each function. Label the asymptote of each graph. $$ y=-24\left(\frac{1}{2}\right)^{x} $$

Write each equation in logarithmic form. $$ 49=7^{2} $$

Graph each function. $$ s(t)=1.5^{t} $$

Write each expression as a single natural logarithm. \(5 \ln m-3 \ln n\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 9^{2 y}=66 $$

State the property or properties used to rewrite each expression. \(3 \log _{4} 5-3 \log _{4} 3=\log _{4}\left(\frac{5}{3}\right)^{3}\)

Graph each function. Label the asymptote of each graph. $$ y=-4^{x} $$

Write each equation in logarithmic form. $$ 10^{3}=1000 $$

Graph each function. $$ y=8(5)^{x} $$

Write each expression as a single natural logarithm. \(\frac{1}{3}(\ln x+\ln y)-4 \ln z\)

Solve each equation. Round to the nearest ten-thousandth. Check your answers. $$ 4^{2 z}=40 $$

State the property or properties used to rewrite each expression. \(2 \log w+4 \log z=\log w^{2} z^{4}\)

Graph each function. Label the asymptote of each graph. $$ y=-\left(\frac{1}{3}\right)^{x} $$

Write each equation in logarithmic form. $$ 625=5^{4} $$

Graph each function. $$ y=2^{2 x} $$

State the property or properties used to rewrite each expression. \(2 \log _{2} m-4 \log _{2} n=\log _{2} \frac{m^{2}}{n^{4}}\)

Graph each function as a transformation of its parent function. $$ y=8^{x}+5 $$

Write each equation in logarithmic form. $$ \frac{1}{10}=10^{-1} $$