91Ó°ÊÓ

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. \(\log _{2} x+\log _{2}(x+2)=\log _{2}(x+6)\)

Using Properties of Logarithms In Exercises \(59-66,\) approximate the logarithm using the properties of logarithms, given \(\log _{b} 2 \approx 0.3562, \log _{b} 3 \approx 0.5646,\) and \(\log _{b} 5 \approx 0.8271\) $$\log _{b} 8$$

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. \(\log _{4} x-\log _{4}(x-1)=\frac{1}{2}\)

Evaluate \(g(x)=\ln x\) at the indicated value of \(x\) without using a calculator. \(x=e^{5}\)

In Exercises \(61-64,\) determine whether the statement is true or false. Justify your answer. The domain of a logistic growth function cannot be the set of real numbers.

Using Properties of Logarithms In Exercises \(59-66,\) approximate the logarithm using the properties of logarithms, given \(\log _{b} 2 \approx 0.3562, \log _{b} 3 \approx 0.5646,\) and \(\log _{b} 5 \approx 0.8271\) $$\log _{b} \sqrt{2}$$

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. \(\log 8 x-\log (1+\sqrt{x})=2\)

In Exercises \(61-64,\) determine whether the statement is true or false. Justify your answer. A logistic growth function will always have an } x \text { -intercept.

Evaluate \(g(x)=\ln x\) at the indicated value of \(x\) without using a calculator. \(x=e^{-4}\)

Using Properties of Logarithms In Exercises \(59-66\) , approximate the logarithm using the properties of logarithms, given log \(_{b} 2 \approx 0.3562, \log _{b} 3 \approx 0.5646,\) and \(\log _{b} 5 \approx 0.8271\) $$\log _{b} 45$$