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Question Number 138690 by KwesiDerek last updated on 16/Apr/21 $$\left(\frac{\mathrm{x}}{\mathrm{12}}\right)^{\mathrm{log}_{\sqrt{\mathrm{3}}} \mathrm{x}} =\left(\frac{\mathrm{x}}{\mathrm{18}}\right)^{\mathrm{log}_{\sqrt{\mathrm{2}}} \mathrm{x}} \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{x}} \\ $$ Commented by liberty last updated on 16/Apr/21 $${x}=\mathrm{36}\:\Rightarrow\left(\frac{\mathrm{36}}{\mathrm{12}}\right)^{\mathrm{log}\:_{\sqrt{\mathrm{3}}}…

Question Number 7587 by ten last updated on 05/Sep/16 $${cos}\mathrm{4}{xsin}\mathrm{4}{x} \\ $$ Answered by Rasheed Soomro last updated on 05/Sep/16 $${cos}\mathrm{4}{xsin}\mathrm{4}{x} \\ $$$$\mathrm{cos}\:\alpha\:\mathrm{sin}\:\beta=\left(\mathrm{1}/\mathrm{2}\right)\left[\mathrm{sin}\left(\alpha+\beta\right)−\mathrm{sin}\left(\alpha−\beta\right)\right]\:\: \\ $$$$\mathrm{cos}\:\mathrm{4}{x}\:\mathrm{sin}\:\mathrm{4}{x}=\left(\mathrm{1}/\mathrm{2}\right)\left[\mathrm{sin}\left(\mathrm{4}{x}+\mathrm{4}{x}\right)−\mathrm{sin}\left(\mathrm{4}{x}−\mathrm{4}{x}\right)\right]\:\:…

Question Number 7579 by ajy last updated on 04/Sep/16 $$\mathrm{2}×\mathrm{2} \\ $$ Answered by FilupSmith last updated on 04/Sep/16 $$\mathrm{4} \\ $$ Terms of Service…

Question Number 138628 by mohammad17 last updated on 15/Apr/21 $${find}\:{the}\:{region}\:{in}\:{which}\:{the}\:{function}\: \\ $$$$ \\ $$$${f}\left({z}\right)=\frac{{log}\left({z}−\mathrm{2}{i}\right)}{{z}^{\mathrm{2}} +\mathrm{1}}\:{is}\:{analytic}\:? \\ $$$$ \\ $$$${help}\:{me}\:{sir}\: \\ $$ Commented by mohammad17 last…

Question Number 7552 by Master Moon last updated on 03/Sep/16 $$\sqrt{\mathrm{4}}+\mathrm{5}\:= \\ $$ Answered by FilupSmith last updated on 03/Sep/16 $$\sqrt{\mathrm{4}}=\pm\mathrm{2} \\ $$$$\therefore\sqrt{\mathrm{4}}+\mathrm{5}=\mathrm{5}\pm\mathrm{2}=\mathrm{3},\:\mathrm{7} \\ $$…