Exponential and Logarithmic Equations Quiz

1. 1. Write each exponential equation in logarithmic form.

2. $$4^{3x}=11$$

2. 2. Write the exponential equation in logarithmic form.

$$8^{x-1}=33$$

3. 3. Write the exponential equation in logarithmic form.

4. $$e^{2x}=7$$

4. 4. Write the exponential equation in logarithmic form.

$$13=2^{5x}$$

5. 5. Write the logarithmic equation in exponential form.

6. $$\log_5x=9$$

6. 6. Write the logarithmic equation in exponential form.

7. $$\log2x=-3$$

7. 7. Write the logarithmic equation in exponential form.

8. $$6=\log_3(x+5)$$

8. 8. Write the logarithmic equation in exponential form.

9. $$\ln(4x)=2$$

9. 9. Evaluate the expression without a calculator.

10. $$\log_381$$

10. Evaluate the expression without a calculator.

$$\ln e^{-5}$$

(a)