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Question Number 190686 by Yacouba last updated on 09/Apr/23 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x} \\ $$$${e}^{\mathrm{ln}\left(\mathrm{2}{x}+\mathrm{5}\right)} =\mathrm{ln}{e}\left(\mathrm{8}{x}+\mathrm{3}\right) \\ $$ Answered by aba last updated on 09/Apr/23 $$\mathrm{e}^{\mathrm{ln}\left(\mathrm{2x}+\mathrm{5}\right)} =\mathrm{ln}\left(\mathrm{e}^{\mathrm{8x}+\mathrm{3}} \right)\:\Rightarrow\:\mathrm{2x}+\mathrm{5}=\mathrm{8x}+\mathrm{3}\:\Rightarrow\:\mathrm{x}=\frac{\mathrm{1}}{\mathrm{3}}…

Question Number 59600 by Gulay last updated on 12/May/19 Answered by MJS last updated on 12/May/19 $$\left({a}+{b}\sqrt{\mathrm{3}}\right)^{\mathrm{2}} =\mathrm{14}+\mathrm{3}\sqrt{\mathrm{3}} \\ $$$${a}^{\mathrm{2}} +\mathrm{3}{b}^{\mathrm{2}} +\mathrm{2}{ab}\sqrt{\mathrm{3}}=\mathrm{14}+\mathrm{3}\sqrt{\mathrm{3}} \\ $$$$\Rightarrow \\…

Question Number 190660 by vishal1234 last updated on 08/Apr/23 $${if}\:{y}\:=\:{sin}^{−\mathrm{1}} \left(\mathrm{2}{x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right)\:{where}\:{x}\in\left[−\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}},\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right],\:{then}\:{find}\:\frac{{dy}}{{dx}}. \\ $$ Answered by BaliramKumar last updated on 08/Apr/23 $$\mathrm{let},\:{x}\:=\:{sin}\theta\:\Rightarrow\:\theta\:=\:{sin}^{−\mathrm{1}} {x} \\ $$$${y}\:=\:{sin}^{−\mathrm{1}}…

Question Number 190636 by mokys last updated on 07/Apr/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 125089 by bounhome last updated on 08/Dec/20 $${lim}_{{x}\rightarrow−\infty} \left(\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}−{x}\right)=? \\ $$ Answered by Bird last updated on 08/Dec/20 $${f}\left({x}\right)=\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}−{x}\:\Rightarrow \\ $$$${f}\left({x}\right)=\mid{x}\mid\sqrt{\mathrm{1}+\frac{\mathrm{3}}{{x}}}−{x}…