for a person who understands natural logs (ln) vs logs. Why do we use (ln) to inverse an equation when there is no e in the original equation?

Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.

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