Writenbspthenbspexponentialnbspequationnbspinnbsplogarithmic

Question

1. Evaluate the function at the indicated value of x. Round your result to three decimal places.

Function                 Value

h(x) = 500e0.05x      x = 17

2. Evaluate the function f(x) = 1.3^x at x = 3.6. Round to 3 decimal places.

3. Evaluate g(x) = ln(x) at the indicated value of x.

4. Write the exponential equation in logarithmic form. log₈64 = 2

5. Find the exact value of the logarithmic expression without using a calculator. log₆36

6. Write the exponential equation in logarithmic form log₇343 = 3.

7. Rewrite the logarithm as a ratio of natural logarithms. log₅18

8. Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) log₃9x

9. Find the exact value of the logarithmic expression without using a calculator. 4lne⁷

10. Solve the exponential equation algebraically. Approximate the result to three decimal places.

e^4x = 100

11. Determine whether the given x­-value is a solution (or an approximate solution) of the equation.

4^5x-5 = 1024

12. Solve the exponential equation algebraically. Approximate the result to three decimal places.

e^5x = e^x2-14

13. Complete the table for the radioactive isotope. Round your answer to two decimal places.

Isotope	Half­life (years)	Initial Quantity	Amount after 1000 years
239Pu	24,100	2.2g

14. Find the intensity I of an earthquake measuring R on the Richter scale (let I₀ = 1)