Question Number 4614 by love math last updated on 14/Feb/16 $$\sqrt{{x}^{{log}_{\mathrm{2}} \sqrt{{x}}} }>\mathrm{2} \\ $$ Commented by Yozzii last updated on 14/Feb/16 $${Squaring}\:{both}\:{sides}\:{of}\:{the}\:{given}\: \\ $$$${inequality}\:{yields}\:{the}\:{following}.…
Question Number 4592 by love math last updated on 09/Feb/16 $$\frac{\mathrm{1}}{\mathrm{2}}+{log}_{\mathrm{9}} {x}−{log}_{\mathrm{3}} \mathrm{5}{x}>{log}_{\frac{\mathrm{1}}{\mathrm{3}}} \left({x}+\mathrm{1}\right) \\ $$ Answered by Rasheed Soomro last updated on 10/Feb/16 $$\frac{\mathrm{1}}{\mathrm{2}}+{log}_{\mathrm{9}}…
Question Number 4559 by love math last updated on 07/Feb/16 $$\left(\mathrm{0};\left(\mathrm{4}\right)\right)^{{x}^{\mathrm{2}} −\mathrm{1}} >\left(\mathrm{0},\left(\mathrm{6}\right)\right)^{{x}^{\mathrm{2}} +\mathrm{6}} \\ $$ Commented by Yozzii last updated on 07/Feb/16 $${What}\:{is}\:\left(\mathrm{0},\left(\mathrm{6}\right)\right)\:{and}\:\left(\mathrm{0};\left(\mathrm{4}\right)\right)? \\…
Question Number 4515 by love math last updated on 04/Feb/16 $$\mathrm{3}^{\mathrm{2}+{log}_{\mathrm{9}} \mathrm{25}} =\mathrm{5}×\mathrm{9}^{\frac{\mathrm{2}}{{x}}} \\ $$ Commented by love math last updated on 05/Feb/16 $${Is}\:{there}\:{any}\:{way}\:{to}\:{prove}\:\mathrm{3}^{\mathrm{2}+{log}_{\mathrm{9}} \mathrm{25}}…
Question Number 4477 by love math last updated on 30/Jan/16 $$\mathrm{2}\:{log}\:\left({x}−\mathrm{2}\right)+{log}\:\left({x}−\mathrm{4}\right)^{\mathrm{2}} =\mathrm{0} \\ $$$$ \\ $$$${Determine}\:{the}\:{domain}\:{of}\:{x}\:{and}\:{find}\:{the}\:{value}\:{of}\:{x}. \\ $$ Answered by Rasheed Soomro last updated on…
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)…