# exponent problem

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• May 5th 2008, 05:10 PM
Darkhrse99
exponent problem
Solve the equation $e/ \sqrt{e}=e^{2x}$ I know you have to divide e into the sq rt e first, which should give you a base of e.
So then you work with the powers
$1=2x$ divide by 2 and $x=1/2$, but the answer is $x=1/4$.

What am I doing wrong?

Thanks

Jason
• May 5th 2008, 06:42 PM
o_O
$\frac{e}{e^{\frac{1}{2}}} = e^{2x}$
$e^{1 - \frac{1}{2}} = e^{2x}$
$e^{\frac{1}{2}} = e^{2x}$

I think you subtracted wrong in the second step by mistake.