x-log-2-x-256-

Question Number 193618 by Brianodhiambo last updated on 17/Jun/23

x^{{l o g}_{2} x} = 256

Answered by aba last updated on 17/Jun/23

x^{\log_{2} (x)} = 256 \Rightarrow x^{\log_{2} (x)} = 2^{8}

\Rightarrow \log_{2}^{2} x = \log_{2} 2^{8} \Rightarrow \log_{2}^{2} x = 8 \Rightarrow \log_{2} x = \pm 2 \sqrt{2}

\Rightarrow x = 2^{\pm 2 \sqrt{2}} ✓

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