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Question-18153




Question Number 18153 by aplus last updated on 16/Jul/17
Commented by prakash jain last updated on 16/Jul/17
4^(2x) =2×500^(500)   2xlog 4=log 2+500log 500  3=((log 2+500log 500)/(2log 4))≈1120.973
$$\mathrm{4}^{\mathrm{2}{x}} =\mathrm{2}×\mathrm{500}^{\mathrm{500}} \\ $$$$\mathrm{2}{x}\mathrm{log}\:\mathrm{4}=\mathrm{log}\:\mathrm{2}+\mathrm{500log}\:\mathrm{500} \\ $$$$\mathrm{3}=\frac{\mathrm{log}\:\mathrm{2}+\mathrm{500log}\:\mathrm{500}}{\mathrm{2log}\:\mathrm{4}}\approx\mathrm{1120}.\mathrm{973} \\ $$

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