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Popular >

simplify e^{3/2 ln(x)}

Solution

simplify

e^{\frac{3}{2} l n (x)}

Solution

x^{\frac{3}{2}}

Solution steps

e^{\frac{3}{2} l n (x)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (x)})^{\frac{3}{2}}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (x)} = x

= x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is e^{3/2 ln(x)} ?
The solution to e^{3/2 ln(x)} is x^{3/2}