show-that-x-1-ln-x-e-

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

s h o w t h a t

\sqrt[l n (x)]{x} = e

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

\sqrt[l n (x)]{x} = x^{\frac{1}{\ln x}} = e^{\ln (x^{\frac{1}{\ln x}})} = e^{\frac{1}{\ln x} \times \ln x} = e^{1} = e

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

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