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Question Number 91671 by  M±th+et+s last updated on 02/May/20

$$showthat$$$$\sqrt[ln\left(x\right)]{x}=e$$

Commented by mr W last updated on 02/May/20

$$\sqrt[ln\left(x\right)]{x}=x^{\frac{1}{\ln x}}=e^{\ln \left(x^{\frac{1}{\ln x}}\right)}=e^{\frac{1}{\ln x}\times \ln x}=e^1=e$$

Commented by  M±th+et+s last updated on 02/May/20

$$niceworkthankyou$$

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