# Exponential and Logarithmic Equations

Worksheet on Exponential and Logarithmic Equations Solve the following exponential equations. Round your answers to 3 decimal places 1. 2 x = 128 5. 3 x -6 = 81 2. 81 x = 3 6. 32 x = 2 3. 64 x = 8 7. 27 x = 3 2 x +3 4. 6 – x = 1 216 8. 2 3 x -2 = 128 9. 7 x = 50 12. 1.05 x = 23 10. e x = 9 13. 4 x -1 = 35 11. 10 x = 120 14. 2 x+5 = 12 Solve each logarithmic equation. Round your answers to 3 decimal places. 18. ln x = 4 1 15. log 36 x = 2 16. log 81 x = 17. log x = 2 1 4 19. log 2 ( x +1) = 2 20. log3 ( a − 2 ) = 2 21. log(x + 8) = 2 26. log 4 (x + 1) – log 4 (x – 2) = 1 22. log(3x – 8) = 1 27. log 4x = log(x + 3) + log 2 23. log 2 x + log 2 5 = 2 28. log x + log(x + 1) = log12 24. log 3 2 x + log 3 x = 4 29. log (3x − 5) − log 5x = 1 25. log 4 (x – 2) – log 4 (x + 1) = 1 30. log(x + 5) – log(x – 2) = log 6

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