91Ó°ÊÓ

For the following exercises, sketch the graph of the indicated function. $$f(x)=2 \log (x)$$

For the following exercises, evaluate the exponential functions for the indicated value of \(x\). $$ h(x)=-\frac{1}{2}\left(\frac{1}{2}\right)^{x}+6 \text { for } h(-7) $$

For the following exercises, sketch the graph of the indicated function. $$f(x)=\ln (-x)$$

For the following exercises, solve each equation for \(x\). $$ \ln (x)+\ln (x-3)=\ln (7 x) $$

For the following exercises, evaluate the base \(b\) logarithmic expression without using a calculator. $$6 \log _{8}(4)$$

Use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F. To the nearest minute, how long will it take the turkey to cool to 110° F?

For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$f(x)=-4^{2 x+3}, \text { for } f(-1)$$

For the following exercises, refer to Table 11. $$\begin{array}{ccccccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} & {10} \\ {f(x)} & {8.7} & {12.3} & {15.4} & {18.5} & {20.7} & {22.5} & {23.3} & {24} & {24.6} & {24.8}\end{array}$$ Use a graphing calculator to create a scatter diagram of the data.

For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth. \(f(x)=a b^{x}+d\). $$ -50=-\left(\frac{1}{2}\right)^{-x} $$

For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$f(x)=e^{x}, \text { for } f(3)$$