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Given-that-log-4-y-1-log-4-x-y-k-and-log-2-y-1-log-2-x-k-1-Show-that-y-2-1-8-k-Hence-deduce-the-value-of-y-and-x-when-k-1-

Question Number 140089 by otchereabdullai@gmail.com last updated on 04/May/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{log}_{\mathrm{4}} \left(\mathrm{y}−\mathrm{1}\right)+\mathrm{log}_{\mathrm{4}} \left(\frac{\mathrm{x}}{\mathrm{y}}\right)=\mathrm{k} \\ $$$$\mathrm{and}\:\mathrm{log}_{\mathrm{2}} \left(\mathrm{y}+\mathrm{1}\right)−\mathrm{log}_{\mathrm{2}} \mathrm{x}=\mathrm{k}−\mathrm{1} \\ $$$$\mathrm{Show}\:\mathrm{that}\:\mathrm{y}^{\mathrm{2}} =\mathrm{1}+\mathrm{8}^{\mathrm{k}} \\ $$$$\mathrm{Hence}\:\mathrm{deduce}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{y}\:\mathrm{and}\:\mathrm{x}\: \\ $$$$\mathrm{when}\:\mathrm{k}=\mathrm{1} \\ $$…

Good-day-friends-I-saw-a-post-on-a-group-chat-where-someone-said-he-needs-help-on-functional-iteration-He-said-he-needs-some-solvings-with-overleaf-and-also-to-play-the-report-on-latex-He-is-highly-w

Question Number 74555 by necxxx last updated on 26/Nov/19 $${Good}\:{day}\:{friends}.{I}\:{saw}\:{a}\:{post}\:{on}\:{a} \\ $$$${group}\:{chat}\:{where}\:{someone}\:{said}\:{he}\:{needs} \\ $$$${help}\:{on}\:{functional}\:{iteration}.\:{He}\:{said} \\ $$$${he}\:{needs}\:{some}\:{solvings}\:{with}\:{overleaf} \\ $$$${and}\:{also}\:{to}\:{play}\:{the}\:{report}\:{on}\:{latex}.{He}\:{is} \\ $$$${highly}\:{willing}\:{to}\:{pay}\:{so}\:{I}\:{thought}\:{to}\:{myself} \\ $$$${to}\:{post}\:{it}\:{here}\:{just}\:{incase}\:{there}'{s} \\ $$$${someone}\:{that}\:{can}\:{pick}\:{up}\:{the}\:{offer}. \\…

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Question Number 8988 by Daily last updated on 10/Nov/16 $${prove} \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{k}\left({k}+\mathrm{1}\right)={k}\left({k}+\mathrm{1}\right)\left({k}+\mathrm{2}\right)/\mathrm{3} \\ $$ Answered by 123456 last updated on 11/Nov/16 $${s}\left({n}\right)=\underset{{k}=\mathrm{1}} {\overset{{n}}…

Question-74527

Question Number 74527 by Maclaurin Stickker last updated on 25/Nov/19 Commented by Maclaurin Stickker last updated on 25/Nov/19 $${In}\:{the}\:{figure}\:{determine}\:{the}\:{radius} \\ $$$${of}\:{the}\:{smallest}\:{circumference}\:{as}\:{a} \\ $$$${function}\:{of}\:{the}\:{radius}\:\boldsymbol{\mathrm{R}}\:{of}\:{the}\:{quadrant}. \\ $$…

ls-

Question Number 8969 by lsaBELA last updated on 08/Nov/16 $${ls} \\ $$ Commented by 123456 last updated on 08/Nov/16 $$\mathrm{R}^{\mathrm{3}} \\ $$$${m}=\left\{\right\} \\ $$$$\mathrm{1}\leqslant{i}\leqslant{a};{m}\left[{i}\right]=\left\{\right\} \\…

Question-74503

Question Number 74503 by crystal0207 last updated on 25/Nov/19 Commented by mathmax by abdo last updated on 25/Nov/19 $$\left.{a}\right)\int_{\mathrm{0}} ^{\infty} \:{x}^{\alpha−\mathrm{1}} \:{e}^{−\lambda{x}} {dx}\:=_{\lambda{x}={t}} \:\:\:\:\int_{\mathrm{0}} ^{\infty}…