February 21, 2017

Homework Help: Math

Posted by Sean on Thursday, March 12, 2009 at 12:39pm.

Given the axioms:
ln x = definite integral from 1 to x of 1/t dt
ln e = 1

Given the theorems:
ln a^r = r * ln a (for all real numbers r)
ln e^x = x * ln e = x

Prove that e^(ln x) = x

Intuitively, I can see that is true, but how can it be proved?

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