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Exponential and Logarithmic Equations

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Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

24. 10^x = 8.07

26. e^x = 0.83

28. 19^x = 143

30. 9e^x = 107

32. 4e^7x = 10,273

34. e^(1-8x) = 7957

36. e^(4x-5) - 7 = 11,243

38. 5^(x-3) = 137

40. 3^(x/7) = 0.2

42. 7^(2x+1) = 3^(x+2)

44. e^2x - 2e^x - 3 = 0

46. e^4x - 3e^2x - 18 = 0

48. 2^2x + 2^x - 13 = 0

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This solution is comprised of detailed step-by-step solutions of the given Exponential and Logarithmic Equations. This solution also provides students with a clear perspective of solving Exponential and Logarithmic Equations in general.

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