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Popular >

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

Solution

simplify

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

Solution

x^{\frac{1}{2}}

Solution steps

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

Simplify

= \frac{1}{2} ln (x)

= e^{\frac{1}{2} l n (x)}

Apply exponent rule:

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

= (e^{l n (x)})^{\frac{1}{2}}

Apply log rule:

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

e^{l n (x)} = x

= x^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is e^{(ln(x))/2} ?
The solution to e^{(ln(x))/2} is x^{1/2}