Question-45500

Question Number 45500 by Sanjarbek last updated on 13/Oct/18

Answered by MrW3 last updated on 13/Oct/18

x = 64^{\frac{1}{x}} = e^{\frac{\ln 64}{x}}

1 = \frac{1}{x} e^{\frac{\ln 64}{x}}

\ln 64 = \frac{\ln 64}{x} e^{\frac{\ln 64}{x}}

\frac{\ln 64}{x} = W (\ln 64) \leftarrow L a m b e r t W f u n c t i o n

\Rightarrow x = \frac{\ln 64}{W (\ln 64)} = \frac{\ln 64}{1.223517} = 3.3991

Commented by Cheyboy last updated on 14/Oct/18

Sir Mr W_{3} how can i have acess

to Lambert function calculator

Commented by Joel578 last updated on 14/Oct/18

wolframalpha . com

Commented by Cheyboy last updated on 14/Oct/18

Ok thank u sir

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