Question Number 132834 by mohammad17 last updated on 16/Feb/21 $${Solve}\:{e}^{\mathrm{2}{z}} =\sqrt{\mathrm{3}}−{i}\:\:\:,{z}={x}+{iy} \\ $$ Answered by mathmax by abdo last updated on 20/Feb/21 $$\mid\sqrt{\mathrm{3}}−\mathrm{i}\mid=\mathrm{2}\:\Rightarrow\sqrt{\mathrm{3}}−\mathrm{i}=\mathrm{2}\left(\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{i}\right)\:=\mathrm{2e}^{−\frac{\mathrm{i}\pi}{\mathrm{6}}} =\mathrm{2e}^{\left(−\frac{\mathrm{i}\pi}{\mathrm{6}}+\mathrm{2ik}\pi\right)} \\…
Question Number 67294 by Rio Michael last updated on 25/Aug/19 $${solve}\:{for}\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:{the}\:{simultaneous}\:{equation} \\ $$$$\:\mathrm{log}_{\mathrm{3}} {x}\:=\:{y}\:=\:\mathrm{log}\left(\mathrm{2}{x}\:−\:\mathrm{1}\right) \\ $$ Commented by mr W last updated on 25/Aug/19 $$\mathrm{log}_{{a}}…
Question Number 1758 by prakash jain last updated on 18/Sep/15 $$\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{sequence}\:\frac{\mathrm{1}}{{p}},\:{p}\:\mathrm{prime}\:\mathrm{number}\:\mathrm{is}\:\mathrm{divergent}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 132827 by victoras last updated on 16/Feb/21 Commented by mr W last updated on 16/Feb/21 $${impossible}! \\ $$ Commented by Dwaipayan Shikari last…
Question Number 132826 by mohammad17 last updated on 16/Feb/21 $${prove}\:{Log}\left({z}_{\mathrm{1}} {z}_{\mathrm{2}} \right)={Log}\left({z}_{\mathrm{1}} \right)+{Log}\left({z}_{\mathrm{2}} \right) \\ $$$${if}\:−\pi<{Argz}_{\mathrm{1}} +{Argz}_{\mathrm{2}} <\pi \\ $$$${hwo}\:{can}\:{solve}\:{this} \\ $$ Commented by guyyy…
Question Number 1752 by Rasheed Ahmad last updated on 14/Sep/15 $${Prove}\:{that}: \\ $$$$\left(−{x}\right)\left(−{y}\right)={xy} \\ $$ Commented by 123456 last updated on 15/Sep/15 $${ax}+{bx}=\left({a}+{b}\right){x} \\ $$$$−{x}=−\mathrm{1}×{x}…
Question Number 1750 by Lissy=ž=ždd
Question Number 1748 by Rasheed Ahmad last updated on 14/Sep/15 $${Why}\:\:\:{a}^{\mathrm{0}} =\mathrm{1}\:{and}\:\:{a}^{−\mathrm{3}} =\frac{\mathrm{1}}{{a}^{\mathrm{3}} } \\ $$ Answered by 123456 last updated on 14/Sep/15 $$\frac{{a}^{{x}} }{{a}^{{y}}…
Question Number 67281 by Tony Lin last updated on 25/Aug/19 Commented by mr W last updated on 25/Aug/19 $${I}\:{get}\:\mathrm{3}{C}_{\mathrm{2}} ^{\mathrm{5}} +\mathrm{3}{C}_{\mathrm{2}} ^{\mathrm{5}} +\mathrm{12}=\mathrm{72} \\ $$…