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Magazine Problem 9
Solve for \(x.\) \(\ln x-\ln 2=0\)
Problem 9
Evaluating an Exponential Function In Exercises \(7-12,\) evaluate the function at the indicated value of \(x .\) Round your result to three decimal places. $$Function$$ $$f(x)=5^{x}$$ $$Value$$ $$x=-\pi$$
Problem 9
Rewriting a Logarithm In Exercises \(7-10\) , rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. $$\log _{x} \frac{3}{10}$$
Problem 9
Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25 .\) \(\log _{32} 4=\frac{2}{5}\)
Problem 10
Rewriting a Logarithm In Exercises \(7-10\) , rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. $$\log _{2.6} x$$
Problem 10
Solve for \(x.\) \(e^{x}=2\)
Problem 10
Evaluating an Exponential Function In Exercises \(7-12,\) evaluate the function at the indicated value of \(x .\) Round your result to three decimal places. $$Function$$ $$f(x)=\left(\frac{2}{3}\right)^{5 x}$$ $$Value$$ $$x=\frac{3}{10}$$
Problem 10
Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25 .\) \(\log _{64} 8=\frac{1}{2}\)
Problem 11
Using the Change-of-Base Formula In Exercises \(11-14\) , evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. $$\log _{4} 8$$
Problem 11
Write the exponential equation in logarithmic form. For example, the logarithmic form of \(2^{3}=8\) is log \(_{2} 8=3\) \(5^{3}=125\)
