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Popular >

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

Solution

simplify

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

Solution

e^{x} x

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

Simplify

e^{l n (x)} : x

= x e^{x}

= e^{x} x

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Frequently Asked Questions (FAQ)

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