Math  /  Algebra

QuestionSolve the equation. Write the answer in terms of the natural logarithm. 5e0.2x=65 e^{0.2 x}=6
The solution set is \square \}. (Type an exact answer. Simplify your answer. Use a comma to separate answers as needed.

Studdy Solution
Solve for x x by dividing both sides by 0.2:
x=ln(65)0.2 x = \frac{\ln\left(\frac{6}{5}\right)}{0.2}
Simplify the expression:
x=5ln(65) x = 5 \ln\left(\frac{6}{5}\right)
The solution set is:
{5ln(65)} \{ 5 \ln\left(\frac{6}{5}\right) \}

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