Math  /  Algebra

QuestionSolve the exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. * = 8.89 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

Studdy Solution
Now, use a calculator to find the decimal approximation for x x .
Using natural logarithms:
x=ln(8.89)2.1848 x = \ln(8.89) \approx 2.1848
Using common logarithms:
x=log(8.89)log(e)2.1848 x = \frac{\log(8.89)}{\log(e)} \approx 2.1848
The solution set expressed in terms of logarithms is:
x=ln(8.89)orx=log(8.89)log(e) x = \ln(8.89) \quad \text{or} \quad x = \frac{\log(8.89)}{\log(e)}
The decimal approximation for the solution is:
x2.1848 x \approx 2.1848

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