P1: Exponential & Logarithmic Functions

Graph the exponential function: $$f\left(x\right)=3\left(2\right)^x+1$$

Graph the exponential function: $$f\left(x\right)=\left(\frac{1}{2}\right)^{x-3}+1$$

Change to exponential form: $$\log_3\left(\frac{1}{81}\right)=-4$$

Change to exponential form: $$\log_93=\frac{1}{2}$$

Change to logarithmic form: $$5^3=125$$

Change to logarithmic form: $$2^{-4}=\frac{1}{16}$$

Match the characteristics to its corresponding function.

You have inherited land that was purchased for $30,000. The value of the land increased by approximately 5% per year. What is the approximate value of the land 51 years later?

Thanks to its environmental initiatives, Silver Grove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now?

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?