Question Number 4670 by malwaan last updated on 20/Feb/16 $${prove}\:{that} \\ $$$$\mathrm{0}.\mathrm{101101110}\rightarrow\: \\ $$$${irrational}\:{number} \\ $$ Commented by prakash jain last updated on 21/Feb/16 $$\mathrm{Non}−\mathrm{recurring}\:\mathrm{non}−\mathrm{terminating}\:\mathrm{decimals}…
Question Number 135742 by mohssinee last updated on 15/Mar/21 Commented by mohssinee last updated on 15/Mar/21 $${help}\:{me}\:! \\ $$ Answered by mathmax by abdo last…
Question Number 4668 by FilupSmith last updated on 20/Feb/16 $${S}=\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\:^{{i}} \sqrt{{n}},\:\:\:{n}\in\mathbb{R} \\ $$$$\mathrm{Can}\:{S}\:\mathrm{be}\:\mathrm{solved}? \\ $$ Answered by Yozzii last updated on 20/Feb/16 $${S}\left({N}\right)=\underset{{i}=\mathrm{1}}…
Question Number 135737 by Ar Brandon last updated on 15/Mar/21 $$\int_{−\mathrm{2}\pi} ^{\mathrm{4}\pi} \frac{\mathrm{3}}{\mathrm{5}−\mathrm{4cosx}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on 15/Mar/21 $$\Phi=\int_{−\mathrm{2}\pi}…
Question Number 70198 by smartsmith459@gmail.com last updated on 01/Oct/19 Answered by MJS last updated on 01/Oct/19 $${x}={a}^{\sqrt{\mathrm{log}_{{a}} \:{b}}} \\ $$$$\mathrm{ln}\:{x}\:=\sqrt{\frac{\mathrm{ln}\:{b}}{\mathrm{ln}\:{a}}}\mathrm{ln}\:{a}\:=\sqrt{\mathrm{ln}\:{a}\:×\mathrm{ln}\:{b}} \\ $$$$\Rightarrow\:\mathrm{5}^{\sqrt{\mathrm{log}_{\mathrm{5}} \:\mathrm{7}}} −\mathrm{7}^{\sqrt{\mathrm{log}_{\mathrm{7}} \:\mathrm{5}}}…
Question Number 70196 by smartsmith459@gmail.com last updated on 01/Oct/19 Answered by MJS last updated on 01/Oct/19 $${x}={a}^{\mathrm{log}_{{b}} \:{c}} ={a}^{\frac{\mathrm{ln}\:{c}}{\mathrm{ln}\:{b}}} \\ $$$$\mathrm{ln}\:{x}\:=\frac{\mathrm{ln}\:{c}}{\mathrm{ln}\:{b}}\mathrm{ln}\:{a}\:\Rightarrow\:{x}={a}^{\mathrm{log}_{{b}} \:{c}} ={c}^{\mathrm{log}_{{b}} \:{a}} \\…
Question Number 70197 by smartsmith459@gmail.com last updated on 01/Oct/19 Commented by mr W last updated on 01/Oct/19 $${in}\:{the}\:{first}\:\mathrm{27}\:{days}\:{it}\:{climbs}\:\mathrm{27}{m}. \\ $$$${in}\:{the}\:\mathrm{28}{th}\:{day}\:{it}\:{escapes}\:{from}\:{the} \\ $$$${pit}.\:\Rightarrow{totally}\:\mathrm{28}\:{days} \\ $$ Terms…
Question Number 4655 by Yozzii last updated on 18/Feb/16 Commented by Yozzii last updated on 18/Feb/16 $${How}\:{do}\:{you}\:{do}\:{this}?\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 4653 by FilupSmith last updated on 18/Feb/16 $$\mathrm{Silly}\:\mathrm{question} \\ $$$${which}\:{is}\:{correct}??? \\ $$$$ \\ $$$$\mathrm{ln}\left(\frac{{n}}{{ab}}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({ab}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({a}\right)+\mathrm{ln}\left({b}\right) \\ $$$${or} \\ $$$$\mathrm{ln}\left(\frac{{n}}{{ab}}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({ab}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({a}\right)−\mathrm{ln}\left({b}\right) \\ $$ Answered by 123456…
Question Number 4650 by FilupSmith last updated on 18/Feb/16 $$\mathrm{In}\:\mathrm{mathematics}\:\mathrm{I}\:\mathrm{have}\:\mathrm{worked}\:\mathrm{with}: \\ $$$$\Sigma\:\mathrm{and}\:\Pi. \\ $$$${e}.{g}. \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\sum}}{k}\:=\:\frac{\mathrm{1}}{\mathrm{2}}{x}\left({x}+\mathrm{1}\right) \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\prod}}{k}\:=\:{k}! \\ $$$$ \\…