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Category: Algebra

bemath-1-3-x-3-x-90-find-x-2-x-dy-dx-1-x-y-xy-2-

Question Number 106774 by bemath last updated on 07/Aug/20 $$\:\:\:\:\overset{@\mathrm{bemath}@} {\:} \\ $$$$\:\left(\mathrm{1}\right)\:\:\:\:\mathrm{3}^{{x}} \:+\:\mathrm{3}^{\sqrt{{x}}\:} =\:\mathrm{90}.\:\mathrm{find}\:{x}\:?\: \\ $$$$\:\:\left(\mathrm{2}\right)\:\mathrm{x}\:\frac{\mathrm{dy}}{\mathrm{dx}}−\left(\mathrm{1}+\mathrm{x}\right)\mathrm{y}\:=\:\mathrm{xy}^{\mathrm{2}} \\ $$ Answered by john santu last updated…

Question-172264

Question Number 172264 by Mikenice last updated on 25/Jun/22 Answered by Rasheed.Sindhi last updated on 25/Jun/22 $$\mathrm{log}_{\mathrm{2}} \left(\mathrm{log}_{\mathrm{8}} {x}\right)=\mathrm{log}_{\mathrm{8}} \left(\mathrm{log}_{\mathrm{2}} {x}\right)\:\:\:\: \\ $$$$\mathrm{log}_{\mathrm{2}} \left(\frac{\mathrm{log}_{\mathrm{2}} {x}\:}{\mathrm{log}_{\mathrm{2}}…

Question-172261

Question Number 172261 by Mikenice last updated on 25/Jun/22 Answered by Rasheed.Sindhi last updated on 25/Jun/22 $$\left(\mathrm{4}\sqrt{\mathrm{3}}\:+\mathrm{7}\right)^{\mathrm{2016}} \left(\mathrm{4}\sqrt{\mathrm{3}}\:−\mathrm{7}\right)^{\mathrm{2016}} \\ $$$$=\left\{\left(\mathrm{4}\sqrt{\mathrm{3}}\:+\mathrm{7}\right)\left(\mathrm{4}\sqrt{\mathrm{3}}\:−\mathrm{7}\right)\right\}^{\mathrm{2016}} \\ $$$$=\left\{\left(\mathrm{4}\sqrt{\mathrm{3}}\:\right)^{\mathrm{2}} −\mathrm{7}^{\mathrm{2}} \right\}^{\mathrm{2016}} \\…