91Ó°ÊÓ

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms.$$\log _{a} \frac{3}{10}$$.

Graph the exponential function by hand. Identify any asymptotes and intercepts and determine whether the graph of the function is increasing or decreasing. $$g(x)=5^{x}$$

Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25.\) $$\log _{7} \frac{1}{49}=-2$$

Determine whether each \(x\)-value is a solution of the equation. \(4 e^{x-1}=60\) (a) \(x=1+\ln 15\) (b) \(x \approx 3.7081\) (c) \(x=\ln 16\)

Graph the exponential function by hand. Identify any asymptotes and intercepts and determine whether the graph of the function is increasing or decreasing. $$f(x)=10^{x}$$

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms.$$\log _{a} \frac{4}{5}$$.

Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25.\) $$\log _{10} \frac{1}{1000}=-3$$

Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25.\) $$\log _{32} 4=\frac{2}{5}$$

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms.$$\log _{2.6} x$$.

Determine whether each \(x\)-value is a solution of the equation. \(\log _{4}(3 x)=3\) (a) \(x \approx 21.3560\) (b) \(x=-4\) (c) \(x=\frac{64}{3}\)