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Question-111374

Question Number 111374 by mathdave last updated on 03/Sep/20 Commented by kaivan.ahmadi last updated on 03/Sep/20 $$={log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}−\sqrt{\mathrm{5}}\right)+{log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}+\sqrt{\mathrm{5}}\right)= \\ $$$${log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}−\sqrt{\mathrm{5}}\right)\left(\sqrt{\mathrm{14}}+\sqrt{\mathrm{5}}\right)={log}_{\sqrt{\mathrm{3}}} \left(\mathrm{14}−\mathrm{5}\right)= \\ $$$${log}_{\sqrt{\mathrm{3}}}…

18-5x-3-309-

Question Number 45811 by gunay last updated on 17/Oct/18 $$\left(\mathrm{18}+\mathrm{5x}\right)×\mathrm{3}=\mathrm{309} \\ $$ Answered by Rauny last updated on 17/Oct/18 $$\mathrm{3}\left(\mathrm{18}+\mathrm{5}{x}\right)=\mathrm{309} \\ $$$$\mathrm{18}+\mathrm{5}{x}=\mathrm{103} \\ $$$$\mathrm{5}{x}=\mathrm{103}−\mathrm{18}=\mathrm{85} \\…

18-5x-3-309-

Question Number 45789 by gunay last updated on 16/Oct/18 $$ \\ $$$$\left(\mathrm{18}+\mathrm{5x}\right)×\mathrm{3}=\mathrm{309} \\ $$ Answered by hassentimol last updated on 16/Oct/18 $$\mathrm{I}'\mathrm{ve}\:\mathrm{resolved}\:\mathrm{it}\:\mathrm{for}\:{x}. \\ $$$$ \\…

y-f-x-y-

Question Number 45776 by Sanjarbek last updated on 16/Oct/18 $$\boldsymbol{{y}}=\mid\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\mid \\ $$$$\boldsymbol{{y}}'−? \\ $$ Commented by maxmathsup by imad last updated on 16/Oct/18 $${for}\:{f}\left({x}\right)\neq\mathrm{0}\:{we}\:{have}\:\mid{f}\left({x}\right)\mid=\sqrt{{f}^{\mathrm{2}} \left({x}\right)}\:\Rightarrow\frac{{d}}{{dx}}\left(\mid{f}\left({x}\right)\mid\right)=\frac{\mathrm{2}{f}\left({x}\right){f}^{'}…