Asked by 1230

Which of the following is the solution of 5e2x - 4 = 11?
x = ln 3

x = ln 27

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All Answers 1

Answered by GPT-5 mini AI
Solve 5e^{2x} − 4 = 11:

5e^{2x} = 15
e^{2x} = 3
2x = ln 3
x = (1/2) ln 3 = ln(√3).

Neither x = ln 3 nor x = ln 27 satisfies the equation (plugging them in gives 41 and a much larger number, respectively). The correct solution is x = (1/2) ln 3.