Question Number 4478 by love math last updated on 30/Jan/16 $${log}_{\mathrm{10}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)=\frac{\mathrm{2}}{{log}_{\mathrm{10}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)}−\mathrm{2} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by…
Question Number 70008 by Shamim last updated on 30/Sep/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}. \\ $$$$\mathrm{log}_{\mathrm{8}} \mathrm{x}\:+\:\mathrm{log}_{\mathrm{4}} \mathrm{x}\:+\:\mathrm{log}_{\mathrm{2}} \mathrm{x}\:=\:\mathrm{11}. \\ $$ Answered by Maclaurin Stickker last updated on 30/Sep/19…
Question Number 4458 by love math last updated on 29/Jan/16 $${log}_{\mathrm{3}} \left({x}−\mathrm{3}\right)^{\mathrm{2}} +{log}_{\mathrm{3}} \mid{x}−\mathrm{3}\mid=\mathrm{3} \\ $$ Answered by Yozzii last updated on 29/Jan/16 $${Note}\:{that}\:\mid{u}\mid=\sqrt{{u}^{\mathrm{2}} }.…
Question Number 4457 by love math last updated on 29/Jan/16 $$\mathrm{0}.\mathrm{5}\:\left({log}_{\mathrm{10}} \left({x}^{\mathrm{2}} −\mathrm{55}{x}+\mathrm{90}\right)\:−\:{log}_{\mathrm{10}} \left({x}−\mathrm{36}\right)\right)=\:{log}_{\mathrm{10}} \sqrt{\mathrm{2}} \\ $$$${Find}\:{the}\:{value}\left({s}\right)\:{of}\:{x}\:{and}\:{determine}\:{the}\:{domain}\:{of}\:{x}. \\ $$ Commented by Yozzii last updated on…
Question Number 69974 by Shamim last updated on 29/Sep/19 $$\mathrm{Identify}\:\mathrm{domain}\:\mathrm{and}\:\mathrm{range}\:\mathrm{of}\:\mathrm{this}\: \\ $$$$\mathrm{function}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)=\:\mathrm{ln}\frac{\mathrm{4}−\mathrm{x}}{\mathrm{4}+\mathrm{x}}. \\ $$ Commented by kaivan.ahmadi last updated on 29/Sep/19 $$\frac{\mathrm{4}−{x}}{\mathrm{4}+{x}}>\mathrm{0}\Rightarrow−\mathrm{4}<{x}<\mathrm{4} \\ $$$$\Rightarrow{D}_{{f}} =\left(−\mathrm{4},\mathrm{4}\right)…
Question Number 4413 by alib last updated on 22/Jan/16 $$\boldsymbol{\mathrm{C}}\mathrm{alculate}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{2}^{\boldsymbol{{x}}} +\mathrm{2}^{−\boldsymbol{{x}}} , \\ $$$$\mathrm{if}\:\mathrm{4}^{\boldsymbol{{x}}} +\mathrm{4}^{−\boldsymbol{{x}}} =\mathrm{23} \\ $$$$ \\ $$ Answered by prakash jain last…
Question Number 4399 by alib last updated on 22/Jan/16 $${Solve}\:{for}\:{x} \\ $$$$ \\ $$$${x}^{\mathrm{2}\:{log}\:_{\mathrm{2}} \:{x}} =\mathrm{8} \\ $$ Commented by Rasheed Soomro last updated on…
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Question Number 69018 by Maclaurin Stickker last updated on 17/Sep/19 Commented by Prithwish sen last updated on 18/Sep/19 $$\mathrm{It}\:\mathrm{is}\:\mathrm{only}\:\mathrm{possible}\:\mathrm{when} \\ $$$$\mathrm{4}\boldsymbol{\mathrm{a}}+\mathrm{5}\boldsymbol{\mathrm{b}}+\mathrm{1}=\mathrm{8}\boldsymbol{\mathrm{ab}}+\mathrm{1} \\ $$$$\Rightarrow\mathrm{4}\boldsymbol{\mathrm{a}}+\mathrm{5}\boldsymbol{\mathrm{b}}=\mathrm{8}\boldsymbol{\mathrm{ab}}…………\left(\boldsymbol{\mathrm{i}}\right) \\ $$$$\boldsymbol{\mathrm{and}}…
Question Number 3239 by Rasheed Soomro last updated on 08/Dec/15 $$\mathcal{I}\:{don}'{t}\:{know}\:{the}\:{value}\:{of}\:\:{Log}\left(−\mathrm{1}\right)\:{but}\:{I}\:{calculate} \\ $$$${it}\:{in}\:{the}\:{following}\:{way}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\left(−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{1} \\ $$$$\:\:\:\:\:\Rightarrow\:\:{Log}\left(−\mathrm{1}\right)^{\mathrm{2}} ={Log}\left(\mathrm{1}\right) \\ $$$$\:\:\:\:\:\Rightarrow\:\:\mathrm{2}×{Log}\left(−\mathrm{1}\right)=\mathrm{0} \\ $$$$\:\:\:\:\:\Rightarrow\:{Log}\left(−\mathrm{1}\right)=\frac{\mathrm{0}}{\mathrm{2}}=\mathrm{0} \\ $$$${Am}\:\mathcal{I}\:{correct}?\:\mathcal{I}{f}\:{no},{why}?…