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

$$6^{{\left({\log }_{2}x\right)}^2}+x^{\left({\log }_{2}x\right)}=12$$

Commented by jagoll last updated on 28/Apr/20

$$ihavenoideatosolvethis$$

Answered by MJS last updated on 28/Apr/20

$$\mathrm{let}t={\mathrm{e}}^{\frac{{\left(\ln x\right)}^2}{\ln 2}}\iff x={\mathrm{e}}^{\pm \sqrt{\ln 2\ln t}}$$$$t^{1+\frac{\ln 3}{\ln 2}}+t=12$$$$\mathrm{I}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{think}\mathrm{we}\mathrm{can}\mathrm{solve}\mathrm{exactly}$$$$t\approx 2.39890750$$$$\Rightarrow$$$$x\approx .458961247\vee x\approx 2.17883320$$

Commented by jagoll last updated on 28/Apr/20

$$wow..anuncomfortablequestion$$

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