Solving Exponential and Logarithic Equations
I. Solve the following equations.
| 1. | 3 x = 27 | 4. | log3x = 4 |
| 2. | 4 x = 1 / 16 | 5. | log x 125 = 3 |
| 3. | 9 x = 27 | 6. | log (3x - 2) = 1 |
II. Solve the following equations for x. Round your answer to 4
decimal places..
| 7. | ex = 9 | 11. | 3 5x = 42 |
| 8. | 3e 2x = 35 | 12. | 2 5 - x/3 = 7 |
| 9. | 3 + e 3x + 2= 23 | 13. | |
| 10. | e 2x - 7ex + 6 = 0 |
III.
i) Find the exact solution to the following equations. (Do not
use a calculator.)
ii) Use a calculator to find a 4 decimal approximation to the
answer.
| 14. | 2 log x = 3 log 5 | 18. | log 2x + log (x + 1) = log (-6x + 10) | |
| 15. | ln x = -5 | 19. | log3(x+ 3) + log3(x+ 5) = 1 | |
| 16. | 3 ln 2x = 7 | 20. | log3(x- 2) + log3(x- 4) = 2 | |
| 17. | ln x -ln (x-2) = 5 | |||