Menu Close

Category: Algebra

f-x-ln-1-ln-x-f-x-ln-f-x-Find-x-

Question Number 143293 by Huy last updated on 12/Jun/21 $${f}\left({x}\right)={ln}\left(\mathrm{1}+{ln}\left({x}\right)\right). \\ $$$${f}\left({x}\right)={ln}\left({f}'\left({x}\right)\right).{Find}\:{x} \\ $$ Answered by Olaf_Thorendsen last updated on 12/Jun/21 $${f}\left({x}\right)\:=\:\mathrm{ln}\left(\mathrm{1}+\mathrm{ln}{x}\right) \\ $$$${f}'\left({x}\right)\:=\:\frac{\frac{\mathrm{1}}{{x}}}{\mathrm{1}+\mathrm{ln}{x}} \\…

Question-143287

Question Number 143287 by enter last updated on 12/Jun/21 Answered by Huy last updated on 12/Jun/21 $$\mathrm{Dieu}\:\mathrm{kien}:\:\mathrm{x}\geqslant−\mathrm{1} \\ $$$$\mathrm{Phuong}\:\mathrm{trinh}\:\mathrm{tuong}\:\mathrm{duong}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2}\right)=\mathrm{5}\sqrt{\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}\right)} \\ $$$$<=>\mathrm{2}\left(\mathrm{x}^{\mathrm{2}}…

Question-12197

Question Number 12197 by tawa last updated on 16/Apr/17 Commented by mrW1 last updated on 16/Apr/17 $${I}\:{think}\:{we}\:{can}\:{not}\:{find}\:{an}\:{analytical} \\ $$$${solution}.\:{The}\:{numerical}\:{solution}\:{can} \\ $$$${be}\:{found}\:{using}\:{a}\:{lot}\:{of}\:{apps},\:{e}.{g}.\:{geogebra}. \\ $$$${x}\approx\mathrm{2}.\mathrm{76909366} \\ $$…

Question-77721

Question Number 77721 by BK last updated on 09/Jan/20 Commented by MJS last updated on 09/Jan/20 $$\left(\mathrm{1}\right)\:\mathrm{divide}\:\mathrm{by}\:\mathrm{5} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{let}\:{x}={t}−\mathrm{1} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{solve}\:\mathrm{for}\:{t} \\ $$ Terms of…