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Popular >

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

Solution

simplify

\frac{e ^{x}}{e ^{l n (x)}}

Solution

\frac{e ^{x}}{x}

Solution steps

\frac{e ^{x}}{e ^{l n (x)}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Apply exponent rule:

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

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

Simplify

e^{- l n (x)} : x^{- 1}

= x^{- 1} e^{x}

Simplify

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

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Frequently Asked Questions (FAQ)

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