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Magazine Problem 65
For each equation, find the exact solution and an approximate solution when appropriate. Round approximate answers to three decimal places. See the Strategy for Solving Exponential and Logarithmic $$\ln (2 x-1)-\ln (x+1)=\ln (5)$$
Problem 66
For each equation, find the exact solution and an approximate solution when appropriate. Round approximate answers to three decimal places. See the Strategy for Solving Exponential and Logarithmic $$\log (x-4)-\log (x+5)=1$$
Problem 71
For each equation, find the exact solution and an approximate solution when appropriate. Round approximate answers to three decimal places. See the Strategy for Solving Exponential and Logarithmic $$2 \cdot \ln (x)=\ln (2)+\ln (5 x-12)$$
Problem 75
Use a calculator to solve each equation. Round answers to four decimal places. $$3=10^{x}$$
Problem 76
Use a calculator to solve each equation. Round answers to four decimal places. $$10^{x}=0.03$$
Problem 77
Use a calculator to solve each equation. Round answers to four decimal places. $$10^{x}=\frac{1}{2}$$
Problem 77
For each equation, find the exact solution and an approximate solution when appropriate. Round approximate answers to three decimal places. See the Strategy for Solving Exponential and Logarithmic $$\log _{7}\left(x^{2}+6 x+8\right)-\log _{7}(x+2)=\log _{7}(3)$$
Problem 78
Use a calculator to solve each equation. Round answers to four decimal places. $$75=10^{x}$$
Problem 79
Use a calculator to solve each equation. Round answers to four decimal places. $$e^{x}=7.2$$
Problem 80
Use a calculator to solve each equation. Round answers to four decimal places. $$e^{3 x}=0.4$$
