Question Number 171995 by Mikenice last updated on 23/Jun/22 $${solve}: \\ $$$$\left(\frac{{x}}{\mathrm{12}}\right)^{{log}_{\sqrt{\mathrm{3}}} \:{x}} =\left(\frac{{x}}{\mathrm{18}}\right)^{{log}_{\sqrt{\mathrm{2}}} {x}} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 171989 by Mikenice last updated on 22/Jun/22 $${solve}:\:{A}\:{two}\:{digit}\:{number}\:{is}\:{such} \\ $$$${that}\:\mathrm{4}\:{times}\:{the}\:{unit}\:{digit}\:{is}\:\mathrm{5}\:{more}\: \\ $$$${than}\:{thrice}\:{the}\:{ten}\:{digit}.\:{when}\:{the} \\ $$$${digit}\:{are}\:{reversed}\:{the}\:{number}\:{is}\: \\ $$$${increase}\:{by}\:{nine},\:{find}\:{the}\:{number} \\ $$$$ \\ $$ Answered by Rasheed.Sindhi…
Question Number 171988 by Mikenice last updated on 22/Jun/22 $${solve}: \\ $$$${x}^{\mathrm{2}} =\mathrm{16}^{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171985 by Shrinava last updated on 22/Jun/22 $$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:,\:\mathrm{O}-\mathrm{circumcentr}\:,\:\mathrm{G}-\mathrm{centroid}. \\ $$$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{OG}\parallel\mathrm{BC}\Leftrightarrow\left(\mathrm{b}^{\mathrm{2}} −\mathrm{c}^{\mathrm{2}} \right)^{\mathrm{2}} =\mathrm{4a}^{\mathrm{2}} \left(\mathrm{9R}^{\mathrm{2}} −\mathrm{a}^{\mathrm{2}} −\mathrm{b}^{\mathrm{2}} −\mathrm{c}^{\mathrm{2}} \right) \\ $$ Terms…
Question Number 171986 by Shrinava last updated on 22/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171972 by mathlove last updated on 22/Jun/22 Answered by mr W last updated on 22/Jun/22 $${x}\neq\mathrm{1}\:\Rightarrow{x}−\mathrm{1}\neq\mathrm{0} \\ $$$$\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{4}} +{x}^{\mathrm{3}} +{x}^{\mathrm{2}} +{x}+\mathrm{1}\right)=\mathrm{0} \\ $$$${x}^{\mathrm{5}}…
Question Number 171979 by Shrinava last updated on 22/Jun/22 Answered by puissant last updated on 23/Jun/22 $${sin}\theta+{icos}\theta=\frac{−{i}}{−{i}}\bullet{sin}\theta+{icos}\theta \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\frac{−{isin}\theta+{cos}\theta}{−{i}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:−\frac{{e}^{−{i}\theta} }{{i}} \\ $$ Terms…
Question Number 171966 by Shrinava last updated on 22/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171954 by Shrinava last updated on 22/Jun/22 $$\mathrm{Find}\:\mathrm{without}\:\mathrm{softs}: \\ $$$$\int_{\frac{\mathrm{1}}{\boldsymbol{\mathrm{e}}}} ^{\:\boldsymbol{\mathrm{e}}} \:\frac{\mathrm{dx}}{\left(\mathrm{1}\:+\:\mathrm{x}^{\mathrm{2}} \right)\left(\mathrm{1}\:+\:\mathrm{x}\:\mathrm{log}^{\mathrm{7}} \:\mathrm{x}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171944 by infinityaction last updated on 22/Jun/22 $${if} \\ $$$${a}+{b}+{c}=\mathrm{2196} \\ $$$$\sqrt[{\mathrm{3}}]{{a}}\:+{b}+{c}=\mathrm{2076} \\ $$$${a}+\sqrt[{\mathrm{3}}]{{b}}\:+{c}=\mathrm{1860} \\ $$$${a}+{b}+\sqrt[{\mathrm{3}}]{{c}}\:=\mathrm{480},\:{determine}\:{the}\:{value}\:{of} \\ $$$${a}^{\frac{\mathrm{2}}{\mathrm{3}}} +{b}^{\frac{\mathrm{2}}{\mathrm{3}}} +{c}^{\frac{\mathrm{2}}{\mathrm{3}}} ,\:{if}\:{a},{b},{c}\:{are}\:{all}\:{integer}. \\ $$…