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Popular >

simplify e^{(x-ln(x))}(e^x)(x)

Solution

simplify

e^{(x - l n (x))} (e^{x}) (x)

Solution

e^{2 x}

Solution steps

e^{(x - l n (x))} (e^{x}) (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x - l n (x)} e^{x} = e^{x - l n (x) + x}

= e^{x - l n (x) + x} x

e^{x - l n (x) + x} = \frac{e ^{2 x}}{x}

= \frac{e ^{2 x}}{x} x

Simplify

= e^{2 x}

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Frequently Asked Questions (FAQ)

What is e^{(x-ln(x))}(e^x)(x) ?
The solution to e^{(x-ln(x))}(e^x)(x) is e^{2x}