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;...

(Parte 1 de 2)

Review for Exam 4

Section 4.1. Exponential Functions

1. Approximate the number using a calculator.

2. Approximate the number using a calculator.

3. Approximate the number using a calculator.

4. Approximate the number using a calculator.

5. Approximate the number using a calculator.

6. Graph the given function by making a table of coordinates.

Complete the table of coordinates.

7. Graph the given function by making a table of coordinates.

Complete the table of coordinates.

8. 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 $15,000 for 5 years at an interest rate of 7 % if the money is

a. compounded​ semiannually;

b. compounded​ quarterly;

c. compounded monthly

d. compounded continuously.

9. 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 5 % if the money is

a. compounded​ semiannually;

b. compounded​ quarterly;

c. compounded monthly

d. compounded continuously.

Section 4.2. Logarithmic Functions

1. Write the equation in its equivalent exponential form.

2. Write the equation in its equivalent exponential form.

3. Write the equation in its equivalent exponential form.

4. Write the equation in its equivalent exponential form.

5. Write the equation in its equivalent logarithmic form.

6. Write in logarithmic form.

7. Write the following equation in its equivalent logarithmic form.

8. Write the following equation in its equivalent logarithmic form.

9. Write the equation in its equivalent logarithmic form.

10. Write the equation in its equivalent logarithmic form.

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

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

13. Evaluate the expression without using a calculator.

14. Evaluate the expression without using a calculator.

15. Evaluate the expression without using a calculator.

16. Evaluate the expression without using a calculator.

17. Evaluate the expression without using a calculator.

Section 4.3. Properties of Logarithms

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

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

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

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

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

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

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

8. Use properties of logarithms to expand the 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 as much as possible. Evaluate logarithmic expressions without using a calculator if 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. Use properties of logarithms to condense the logarithmic expression below. Write the expression as a single logarithm whose coefficient is 1. Where​ possible, evaluate logarithmic expressions.

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

14. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.

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

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

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

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

19. 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.

20. 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.

21. 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.

22. Use common logarithms or natural logarithms and a calculator to evaluate the expression.

23. Use common logarithms or natural logarithms and a calculator to evaluate the expression.

24. Use common logarithms or natural logarithms and a calculator to evaluate the expression.

25. Use common logarithms or natural logarithms and a calculator to evaluate the expression.

Section 4.4. Exponential and Logarithmic Equations

1. Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.

2. Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.

3. Solve for x.

4. Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.

5. 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.

6. 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.

7. 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.

8. Solve the given 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.

9. Solve the given 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.

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10. 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.

(Parte 1 de 2)

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