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Popular >

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

Solution

simplify

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

Solution

e^{2 x} x^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

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