91Ó°ÊÓ

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. Write a formula that models this situation.

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

For the following exercises. use the one-to-one pronerty of logarithms to solve. $$ \ln \left(x^{2}-10\right)+\ln (9)=\ln (10) $$

For the following exercises, evaluate the exponential functions for the indicated value of \(x\). $$ g(x)=\frac{1}{3}(7)^{x-2} \text { for } g(6) $$

For the following exercises, evaluate the exponential functions for the indicated value of \(x\). $$ f(x)=4(2)^{x-1}-2 \text { for } f(5) $$

For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$f(x)=2(5)^{x}, \text { for } f(-3)$$

For the following exercises, solve each equation for \(x\). $$ \log (x+12)=\log (x)+\log (12) $$

For the following exercises, use this scenario: A pot of boiling soup with an internal temperature of \(100^{\circ}\) Fahrenheit was taken off he stove to cool in a \(69^{\circ} \mathrm{F}\) room. After fifteen minutes, the internal temperature of the soup was \(95^{\circ} \mathrm{F}\). To the nearest degree, what will the temperature be after 50 minutes?

For the following exercises, evaluate the base \(b\) logarithmic expression without using a calculator. $$\log _{2}\left(\frac{1}{8}\right)+4$$

For the following exercises, refer to Table 10. $$ \begin{array}{ccccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} \\\ {f(x)} & {7.5} & {6} & {5.2} & {4.3} & {3.9} & {3.4} & {3.1} & {2.9}\end{array} $$ Graph the logarithmic equation on the scatter diagram.