Menu Close

Category: None

10-x-x-1000-x-

Question Number 65446 by LPM last updated on 30/Jul/19 $$\:\:\:\:\mathrm{10}^{\mathrm{x}} \:=\:\mathrm{x}^{\mathrm{1000}} \:\Rightarrow\:\mathrm{x}=? \\ $$ Commented by MJS last updated on 30/Jul/19 $${a}^{{x}} ={x}^{{b}} \\ $$$${x}\mathrm{ln}\:{a}\:={b}\mathrm{ln}\:{x}…

Question-130946

Question Number 130946 by help last updated on 30/Jan/21 Answered by mathmax by abdo last updated on 30/Jan/21 $$\mathrm{u}_{\mathrm{n}} =\frac{\sqrt{\mathrm{n}^{\mathrm{4}} −\mathrm{2n}^{\mathrm{3}} }−\mathrm{n}^{\mathrm{2}} }{\mathrm{n}+\mathrm{2}}\:\Rightarrow\mathrm{u}_{\mathrm{n}} =\frac{\sqrt{\mathrm{n}^{\mathrm{4}} \left(\mathrm{1}−\frac{\mathrm{2}}{\mathrm{n}}\right)}−\mathrm{n}^{\mathrm{2}}…

hi-mr-tinku-tara-in-the-app-i-can-t-see-the-button-to-cut-some-sentences-please-add-it-

Question Number 130927 by greg_ed last updated on 30/Jan/21 $$\mathrm{hi},\:\mathrm{mr}\:\mathrm{tinku}\:\mathrm{tara}\:! \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{app},\:\mathrm{i}\:\mathrm{can}'\mathrm{t}\:\mathrm{see}\:\mathrm{the}\:\mathrm{button}\:\mathrm{to}\:\mathrm{cut}\: \\ $$$$\mathrm{some}\:\mathrm{sentences}.\: \\ $$$$\mathrm{please},\:\mathrm{add}\:\mathrm{it}\:! \\ $$ Commented by Tinku Tara last updated on…

let-q-R-q-lt-1-show-that-k-0-k-2-q-k-q-2-q-1-q-3-

Question Number 130921 by pticantor last updated on 30/Jan/21 $$\boldsymbol{{let}}\:\boldsymbol{{q}}\in\mathbb{R}/\:\mid\boldsymbol{{q}}\mid<\mathrm{1} \\ $$$$\: \\ $$$$\boldsymbol{{show}}\:\boldsymbol{{that}} \\ $$$$\underset{\boldsymbol{{k}}=\mathrm{0}} {\overset{+\infty} {\sum}}\boldsymbol{{k}}^{\mathrm{2}} \boldsymbol{{q}}^{\boldsymbol{{k}}} =\frac{\boldsymbol{{q}}^{\mathrm{2}} +\boldsymbol{{q}}}{\left(\mathrm{1}−\boldsymbol{{q}}\right)^{\mathrm{3}} } \\ $$ Answered…