Category: Logarithms

Question Number 86515 by jagoll last updated on 29/Mar/20 $${\log }_2\left(\mathrm{x}\right)+{\log }_3\left(\mathrm{x}\right)=1$$$$\mathrm{x}=$$ Commented by john santu last updated on 29/Mar/20 $$\Rightarrow\:\:^{\mathrm{2}}…

Question Number 86339 by frempongfaustina24@gmail.com last updated on 28/Mar/20 $$4^x+6^x=9^x$$$$$$$$$$ Answered by jagoll last updated on 28/Mar/20…

Question Number 20626 by NECx last updated on 29/Aug/17 Answered by $@ty@mlastupdatedon30/Aug/17$$\frac{2}{{log}_{a}x}+\frac{1}{{log}_{a}ax}+\frac{3}{{log}_a{a}^{2}x}=0$$$$\frac{\mathrm{2}}{{log}_{{a}} {x}}+\frac{\mathrm{1}}{{log}_{{a}} {ax}}+\frac{\mathrm{1}}{{log}_{{a}}…

Question Number 85826 by jagoll last updated on 25/Mar/20 $${}^{\mathrm{x}}\log \left(\mathrm{xy}\right).{}^{\mathrm{y}}\log \left(\mathrm{xy}\right)+{}^{\mathrm{x}}\log (\mathrm{x}-\mathrm{y}){.}^{\mathrm{y}}\log (\mathrm{x}-\mathrm{y})=0$$$$\mathrm{find}\mathrm{x}+\mathrm{y}$$ Commented by john santu last updated on…

Question Number 85694 by john santu last updated on 24/Mar/20 $${\log }_{\left(\frac{x}{x-3}\right)}\left(7\right)<{\log }_{\left(\frac{x}{3}\right)}\left(7\right)$$ Commented by jagoll last updated on 24/Mar/20 $$\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{7}} \left(\frac{\mathrm{x}}{\mathrm{x}−\mathrm{3}}\right)}\:<\:\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{7}} \left(\frac{\mathrm{x}}{\mathrm{3}}\right)}…