Home » 6 algebra questions Model situations using exponential functions Use exponents to solve logarithmic equations

6 algebra questions Model situations using exponential functions Use exponents to solve logarithmic equations

  • Model situations using exponential functions
  • Use exponents to solve logarithmic equations
  • Use logarithms to solve exponential equations
  • Graph exponential and logarithmic equations

i could only upload 5 so i will upload the last when we start 🙂

(2 points
11. Note: Remember to show all of the steps that you use to solve the problem. You can use the
comments field to explain your work. Your teacher will review each step of your response to
ensure you receive proper credit for your answer.
The exponential decay graph shows the expected depreciation for a new boat, selling for
$3,500, over 10 years.
Value(s)
9000
8000
7000
6000
5000
4000
3000
2000
1000
***
1
2 3
4
5 6 7 8 9 10 11 years
Write an exponential function for the graph. Use the function to find the value of the boat after
9.5 years.
(2 points)
12. Note: Remember to show all of the steps that you use to solve the problem. You can use the
comments field to explain your work. Your teacher will review each step of your response to
ensure you receive proper credit for your answer.
Write the equation in logarithmic form.
4
,
=
13. Evaluate the logarithm. (2 points)
1083
831
1
27
(2 points)
14. Note: Remember to show all of the steps that you use to solve the problem. You can use the
comments field to explain your work. Your teacher will review each step of your response to
ensure you receive proper credit for your answer.
Solve In2 + Inx = 5. Round to the nearest thousandth, if necessary.
(3 points)
15. Note: Remember to show all of the steps that you use to solve the problem. You can use the
comments field to explain your work. Your teacher will review each step of your response to
ensure you receive proper credit for your answer.
In a particular region of a national park, there are currently 330 deer, and the population is
increasing at an annual rate of 11%.
a. Write an exponential function to model the deer population.
b. Explain what each value in the model represents.
c. Predict the number of deer that will be in the region after five years. Show your work.

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