1. Use the definition of a logarithmic function to rewrite the equation in exponential form.

5 = log₄(1024)

2. Use the definition of a logarithmic function to rewrite the equation in exponential form.

1/2 = log₄₉(7)

3. Use the definition of a logarithmic function to rewrite the equation in exponential form.

3 = log₄(1/64)

4. Solve for x by writing the equation in exponential form.

log₅(x) = 4

5. Solve for x by writing the equation in exponential form.

log₆(x) = 2

6. Solve for x by writing the equation in exponential form.

log₃₆(x) = 1/2

7. Solve for x by writing the equation in exponential form.

log₁₆(x) = 1/2

8. Solve for x by writing the equation in exponential form.

log₇(3x + 10) = 2

9. Solve for x by writing the equation in exponential form.

log(5x 7) = 2

10. Solve for x by writing the equation in exponential form. (Round your answer to three decimal places.) ln(4x + 3) = 2.3

11. Write the equation in logarithmic form. 3⁴ = 81

12. Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.)

e^{7x + 5} = 0.49

13. Use a change-of-base formula to evaluate each logarithm. (Round your answers to four decimal places.)

(a)log₈(15)

(b) log₇(0.52)