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Popular >

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

Solution

simplify

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

Solution

e^{c} x

Solution steps

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

Apply exponent rule:

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

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

Simplify

\frac{ln ( x ) + c}{2} \cdot 2 : ln (x) + c

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

Apply exponent rule:

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

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

Simplify

e^{l n (x)} : x

= x e^{c}

= e^{c} x

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Frequently Asked Questions (FAQ)

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