6-log-2-x-2-x-log-2-x-12-

Question Number 91177 by jagoll last updated on 28/Apr/20

6^{{(\log_{2} x)}^{2}} + x^{(\log_{2} x)} = 12

Commented by jagoll last updated on 28/Apr/20

i h a v e n o i d e a t o s o l v e t h i s

Answered by MJS last updated on 28/Apr/20

let t = e^{\frac{{(\ln x)}^{2}}{\ln 2}} \Leftrightarrow x = e^{\pm \sqrt{\ln 2 \ln t}}

t^{1 + \frac{\ln 3}{\ln 2}} + t = 12

I {don}^{'} t think we can solve exactly

t \approx 2.39890750

\Rightarrow

x \approx . 458961247 \lor x \approx 2.17883320

Commented by jagoll last updated on 28/Apr/20

w o w . . a n u n c o m f o r t a b l e q u e s t i o n

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