What is the inverse of x^{2ln(x)} ?

The inverse of x^{2ln(x)} is e^{sqrt((ln(x))/2)},e^{-sqrt((ln(x))/2)}

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inverse of x^{2ln(x)}

inverse

x^{2 l n (x)}

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = y^{2 l n (y)}

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

What is the inverse of x^{2ln(x)} ?
The inverse of x^{2ln(x)} is e^{sqrt((ln(x))/2)},e^{-sqrt((ln(x))/2)}