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How is ln7x equal to ln13?

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Anonymous

14y ago
Updated: 8/19/2019

Solving ln(7x) = ln(13) for x is really easy.

First, exponentiate both sides of the equation with the mathematical constant, e (2.71828):

eln(7x) = eln(13), which reduces to 7x = 13.

Now, divide both sides of the equation by 7:

(7/7)x = 13/7.

This gives us the answer x = 13/7, or 1.857.

You may have noticed that the exponentiating step was just a formality as the terms inside of the ln brackets had to be equal, so we could have simply started at 7x = 13.

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14y ago

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