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Popular >

simplify e^{x+2ln(x)}*e^x

Solution

simplify

e^{x + 2 l n (x)} \cdot e^{x}

Solution

e^{2 x} x^{2}

Solution steps

e^{x + 2 l n (x)} e^{x}

Apply exponent rule:

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

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

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

Simplify

x + 2 ln (x) + x : 2 x + 2 ln (x)

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

Apply exponent rule:

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

= e^{2 l n (x)} e^{2 x}

Simplify

e^{2 l n (x)} : x^{2}

= x^{2} e^{2 x}

= e^{2 x} x^{2}

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Frequently Asked Questions (FAQ)

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