Exponential Functions; Logarithmic Functions; Properties of Logarithms; Exponential and Logarithmic Equations; Systems of Linear Equations and Matrix Solutions to Linear Systems

Exponential Functions; Logarithmic Functions; Properties of Logarithms;...

Quiz for Exam 4

Exponential Functions; Logarithmic Functions; Properties of Logarithms; Exponential and Logarithmic Equations; Systems of Linear Equations and Matrix Solutions to Linear Systems

1. Approximate the number using a calculator.

2. Approximate the number using a calculator.

3. Use the compound interest formulas and to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 7 % if the money is

a. compounded​ semiannually;

b. compounded​ quarterly;

c. compounded monthly

d. compounded continuously.

4. Write the equation in its equivalent exponential form.

5. Write the equation in its equivalent exponential form.

6. Find the exact value of the logarithm without using a calculator.

7. Evaluate the expression without using a calculator.

8. Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible.

9. Use properties of logarithms to expand the logarithmic expression below as much as possible.

10. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where​ possible, evaluate logarithmic expressions.

11. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where​ possible, evaluate logarithmic expressions.

12. Solve the exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation for the solution.

13. Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms.​ Then, use a calculator to obtain a decimal approximation for the solution.

14. Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms.​ Then, use a calculator to obtain a decimal approximation for the solution.

15. Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.  

16. Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.​ Then, use a calculator to obtain a decimal​ approximation, correct to two decimal​ places, for the solution.

17. Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give an exact answer.

18. Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer.

19. Solve the system by the addition method.

20. Solve the system of equations by the addition method.

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