Category: Logarithms

Question Number 4478 by love math last updated on 30/Jan/16 $${log}_{10}(x^2+1)=\frac{2}{{log}_{10}(x^2+1)}-2$$$$$$$$$$$$$$ Answered by…

Question Number 4458 by love math last updated on 29/Jan/16 $${log}_3{(x-3)}^2+{log}_3\mid x-3\mid =3$$ Answered by Yozzii last updated on 29/Jan/16 $${Note}\:{that}\:\mid{u}\mid=\sqrt{{u}^{\mathrm{2}} }.…

Question Number 69974 by Shamim last updated on 29/Sep/19 $$\mathrm{Identify}\mathrm{domain}\mathrm{and}\mathrm{range}\mathrm{of}\mathrm{this}$$$$\mathrm{function}\mathrm{that}\mathrm{f}\left(\mathrm{x}\right)=\ln \frac{4-\mathrm{x}}{4+\mathrm{x}}.$$ Commented by kaivan.ahmadi last updated on 29/Sep/19 $$\frac{4-x}{4+x}>0\Rightarrow -4<x<4$$$$\Rightarrow{D}_{{f}} =\left(−\mathrm{4},\mathrm{4}\right)…

Question Number 4399 by alib last updated on 22/Jan/16 $$Solveforx$$$$$$$$x^{2log{}_{2}x}=8$$ Commented by Rasheed Soomro last updated on…

Question Number 69018 by Maclaurin Stickker last updated on 17/Sep/19 Commented by Prithwish sen last updated on 18/Sep/19 $$\mathrm{It}\mathrm{is}\mathrm{only}\mathrm{possible}\mathrm{when}$$$$4\mathbf{a}+5\mathbf{b}+1=8\mathbf{ab}+1$$$$\Rightarrow 4\mathbf{a}+5\mathbf{b}=8\mathbf{ab}\dots \dots \dots \dots \left(\mathbf{i}\right)$$$$\boldsymbol{\mathrm{and}}…