Question Number 131884 by Study last updated on 09/Feb/21 $${log}_{\mathrm{2}} {x}+{log}_{\mathrm{3}} {x}=\mathrm{1}\:\:\:\:\:\:\:{x}=? \\ $$ Answered by EDWIN88 last updated on 09/Feb/21 $$\:\frac{\mathrm{ln}\:\mathrm{x}}{\mathrm{ln}\:\mathrm{2}}\:+\:\frac{\mathrm{ln}\:\mathrm{x}}{\mathrm{ln}\:\mathrm{3}}\:=\:\mathrm{1}\: \\ $$$$\:\mathrm{ln}\:\mathrm{x}\:\left(\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{3}}\right)=\mathrm{1} \\…
Question Number 131880 by Algoritm last updated on 09/Feb/21 Answered by SEKRET last updated on 09/Feb/21 $$\:\boldsymbol{\mathrm{x}}=\frac{\mathrm{5}}{\mathrm{2}} \\ $$ Commented by Algoritm last updated on…
Question Number 131876 by I want to learn more last updated on 09/Feb/21 Answered by EDWIN88 last updated on 09/Feb/21 $$\left(\mathrm{i}\right)\:\mathrm{C}_{\mathrm{8}} ^{\mathrm{10}} \:=\:\frac{\mathrm{10}×\mathrm{9}}{\mathrm{2}×\mathrm{1}}=\mathrm{45}\: \\ $$…
Question Number 131879 by Study last updated on 09/Feb/21 $${prove}\:{that}\:{sin}\left({n}\pi\right)=\mathrm{0}\:\:\:{if}\:\:\:\:{n}\in\mathbb{Z} \\ $$ Answered by physicstutes last updated on 10/Feb/21 $$\mathrm{prove}\:\mathrm{for}\:{n}\:=\:\mathrm{1} \\ $$$$\mathrm{sin}\:\pi\:=\:\mathrm{0} \\ $$$$\mathrm{assume}\:\mathrm{for}\:{n}=\:{k}\:,\:{k}\:\in\mathbb{Z} \\…
Question Number 131865 by mohammad17 last updated on 09/Feb/21 $${sin}\left(\mathrm{3}{x}\right){sin}\left(\mathrm{5}{x}\right){sin}\left(\mathrm{7}{x}\right){sin}\left(\mathrm{9}{x}\right) \\ $$ Commented by guyyy last updated on 12/Feb/21 Commented by guyyy last updated on…
Question Number 131860 by aurpeyz last updated on 09/Feb/21 $${what}\:{is}\:{the}\:{magnitude}\:{and}\:\: \\ $$$${direction}\left({in}\:{degree}\right)\:{of}\:{this}\:{vector}? \\ $$$${F}=−\mathrm{3}×\mathrm{10}^{−\mathrm{6}} {i}−\mathrm{13}.\mathrm{35}×\mathrm{10}^{−\mathrm{6}} {j} \\ $$$$\left({a}\right)\:\mathrm{282}.\mathrm{5}^{\mathrm{0}} \:\left({b}\right)\mathrm{78}.\mathrm{5}^{\mathrm{0}} \:\left({c}\right)\:\mathrm{82}.\mathrm{5}^{\mathrm{0}} \:\left({d}\right)\mathrm{78}.\mathrm{5}^{\mathrm{0}} \\ $$$$\left({e}\right)\mathrm{282}.\mathrm{5}^{\mathrm{0}} \\ $$…
Question Number 131858 by mohammad17 last updated on 09/Feb/21 Commented by mohammad17 last updated on 09/Feb/21 $${how}\:{can}\:{it}\:{solve}\:{this} \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 66276 by gunawan last updated on 12/Aug/19 $$\mathrm{If}\:{a}\:\mathrm{and}\:{b}\:\mathrm{is}\:\mathrm{root}\:\mathrm{equation} \\ $$$$\mathrm{3}^{\mathrm{log}_{\mathrm{3}} \left(\mathrm{4x}^{\mathrm{2}} +\mathrm{3}\right)} +\mathrm{4}^{\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)} =\mathrm{49} \\ $$$$\mathrm{then} \\ $$$${a}+{b}=.. \\ $$$${a}.\:\mathrm{3} \\…
Question Number 66274 by mr mondo last updated on 12/Aug/19 Commented by mr W last updated on 12/Aug/19 $${the}\:{answer}\:{is}\:{given}\:{in}\:{Q}\mathrm{66162}! \\ $$ Terms of Service Privacy…
Question Number 131785 by faysal last updated on 08/Feb/21 $${ABC}\:{triangle}'{s}\:{A}+{B}={C}=\mathrm{90}°\:{prove}\:{that} \\ $$$$\mathrm{sin}\:^{\mathrm{2}} {A}−{sin}^{\mathrm{2}} {B}+{sin}^{\mathrm{2}} {C}=\mathrm{0} \\ $$ Answered by Dwaipayan Shikari last updated on 08/Feb/21…