Category: Algebra

Question Number 201200 by Calculusboy last updated on 01/Dec/23 Commented by Rasheed.Sindhi last updated on 02/Dec/23 $${\left({(x-1)}^{x-1}\right)}^{1/3}={(x-1)}^{{(x-1)}^{1/3}}$$ Commented by Rasheed.Sindhi…

Question Number 201190 by Calculusboy last updated on 01/Dec/23 Answered by mr W last updated on 01/Dec/23 $$\frac{1}{{(-x)}^{(-x)}}=\frac{1}{1000}$$$${(-x)}^{(-x)}=1000$$$$\Rightarrow{x}=−\frac{\mathrm{4ln}\:\mathrm{10}}{{W}\left(\mathrm{4ln}\:\mathrm{10}\right)}\approx−\mathrm{5}.\mathrm{438583} \…

Question Number 201149 by Mingma last updated on 30/Nov/23 Answered by witcher3 last updated on 03/Dec/23 $$\mathrm{x}=\mathrm{n}\in \mathbb{N}\mathrm{y}=\frac{1}{\mathrm{n}},\mathrm{z}=\frac{1}{\mathrm{n}},\mathrm{n}⩾2$$$$\mathrm{\forall }\mathrm{n}\in \mathbb{N}-\{0,1\}(\mathrm{n},\frac{1}{\mathrm{n}},\frac{1}{\mathrm{n}})\mathrm{is}\mathrm{solution}$$$$$$ Terms of…

Question Number 201106 by mnjuly1970 last updated on 29/Nov/23 $$$$$$calculate\dots$$$$$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{\zeta \left(2n\right)}{2^n.n}=?$$$$$$ Answered by…

Question Number 201041 by hardmath last updated on 28/Nov/23 $$4\left(33\right)7$$$$4\left(24\right)6$$$$5(?)4$$$$$$$$a)9b)18c)27d)36$$ Answered by Frix last updated…