Category: Logarithms

Question Number 85433 by jagoll last updated on 22/Mar/20 $$-{\log }_{\left(\frac{\mathrm{x}}{6}\right)}\left(\frac{{\log }_{10}\sqrt{6-\mathrm{x}}}{{\log }_{10}\mathrm{x}}\right)>{\log }_{10}\left(\frac{\mid \mathrm{x}\mid }{\mathrm{x}}\right)$$ Answered by jagoll last updated on 22/Mar/20 Terms of…

Question Number 150641 by maged last updated on 14/Aug/21 $$1+\sqrt{3^{\mathrm{x}}}=2^{\mathrm{x}}$$$$\mathrm{x}=?$$ Commented by amin96 last updated on 14/Aug/21 $$\sqrt{\mathrm{3}^{{x}} }=\mathrm{3}^{{m}} \:\:\:\:\mathrm{3}^{{x}}…

Question Number 84828 by john santu last updated on 17/Mar/20 $${\log }_3({25\mathrm{x}}^2-4)-{\log }_3\left(\mathrm{x}\right)⩽{\log }_3({26\mathrm{x}}^2+\frac{17}{\mathrm{x}}-10)$$ Commented by john santu last updated on…

Question Number 84674 by jagoll last updated on 15/Mar/20 $$\frac{6-{\log }_{16}\left({\mathrm{x}}^4\right)}{3+{2\log }_{16}\left({\mathrm{x}}^2\right)}<2$$ Commented by jagoll last updated on 15/Mar/20 $$\left(\mathrm{i}\right)\:\mathrm{x}\:\neq\:\mathrm{0}\: \…

Question Number 84051 by john santu last updated on 09/Mar/20 $$\frac{{\log }_{(x-1)}(6x-1)}{(\frac{1}{8}{\left({\log }_3\left(x^2\right)\right)}^3-{\log }_3\left(x\right))({\log }_3(x-2)-1)}⩾0$$ Answered by john santu last updated…