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Magazine Problem 47
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 $$x \cdot \ln (2)=\ln (7)$$
Problem 47
Rewrite each expression in terms of \(\log (3)\) and/or \(\log (5)\) See Example 5. $$ \log \left(\frac{5}{3}\right) $$
Problem 48
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 $$x \cdot \log (3)=\log (5)$$
Problem 52
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 $$2^{x}=\frac{1}{3}$$
Problem 54
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 $$10^{x-2}=6$$
Problem 55
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 $$3^{x}=20$$
Problem 56
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 $$2^{x}=128$$
Problem 58
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 $$\log (x)-\log (3)=\log (6)$$
Problem 59
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 $$8^{x}=2^{x+1}$$
Problem 63
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 $$\log _{3}(1-x)+\log _{3}(2 x+13)=3$$
