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solve-7-x-2-

Question Number 193170 by aba last updated on 05/Jun/23 $$\mathrm{solve}\::\:\mathrm{7}^{\mathrm{x}} =−\mathrm{2} \\ $$ Answered by Frix last updated on 06/Jun/23 $$−\mathrm{2}=\mathrm{2e}^{\mathrm{i}\pi\left(\mathrm{2}{n}+\mathrm{1}\right)} \forall{n}\in\mathbb{Z} \\ $$$$\mathrm{7}^{{x}} =\mathrm{2e}^{\mathrm{i}\pi\left(\mathrm{2}{n}+\mathrm{1}\right)}…

Question-131027

Question Number 131027 by Algoritm last updated on 31/Jan/21 Answered by mathmax by abdo last updated on 31/Jan/21 $$\mathrm{cos}^{\mathrm{2m}} \mathrm{x}\:=\left(\frac{\mathrm{e}^{\mathrm{ix}} +\mathrm{e}^{−\mathrm{ix}} }{\mathrm{2}}\right)^{\mathrm{2m}} \:=\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2m}} }\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{2m}}…

d-dx-or-

Question Number 131007 by Study last updated on 31/Jan/21 $$\frac{{d}}{{dx}}\left(\infty\right)=?\:\:\:\:\:{or}\:\:\:\left(\infty\right)'=? \\ $$ Answered by Boucatchou last updated on 31/Jan/21 $$\infty\:{is}\:{unknown},\:{so}\:\:{they}\:\:{can}'{t}\:\:{do}\:\:{such}\:\:{operations}.. \\ $$ Answered by MJS_new…