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Solving Equation using Natural Logarithm

4e^2x = 53

My problem reads:

4e to the 2x power equals 53.

When I plug my solution back in to check, I find that it is incorrect. Please send me step-by-step explanation because I do not understand the concept and my textbook has no examples for guidance.

Solution Preview

4e^2x = 53
<br>or e^2x = 53/4....taking natural logarithm on both sides ...