Exponential and Logarithmic Equations Problems Assignment | Online Assignment

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Practice 8-5                                                   Exponential and Logarithmic Equations

Use the Change of Base Formula to evaluate each expression. Round                                                                   answers to the nearest hundredth.

1. log₂12                 2. log₃40                3. log₄8                 4. log₅3               5. log₂1

6. log₅10                 7. log₂8                  8. log₃6                 9. log₉3                10. log₈3

Solve each equation. Check your answer. Round answers to the nearest                          hundredth.

11. 2^x = 243 12. 7ⁿ = 12                    13. 5^2x = 20                       14. 8ⁿ⁺¹ = 3

15. 4^n–2 = 3 16. 4³ⁿ = 5                    17. 15^2n–3 = 245                18. 4^x – 5 = 12

Solve each equation. Check your answer. Round answers to the nearest                        hundredth.

19. log 3x = 2 20. 4 log x = 4                           21. log (3x – 2) = 3

22. 2 log x – log 5 = –2 23. log 8 – log 2x = –1              24. log (x + 21) + log x = 2

25. 8 log x = 16 26. log x = 2                              27. log 4x = 2

28.       log (x – 25) = 2            29.       2 log x = 2       30.       lo