Category: Logarithms

Question Number 25315 by ibraheem160 last updated on 08/Dec/17 $$if{log}_a^b={log}_b^c={log}_c^a.showthata=b=c$$ Answered by prakash jain last updated on…

Question Number 90806 by john santu last updated on 26/Apr/20 $${\log }_{(x+4)}(x^2-8x+12)<\frac{1}{2}{\log }_{\mid x-2\mid }{(2-x)}^2$$ Commented by john santu last updated on 26/Apr/20 $$\Rightarrow\left(\mathrm{2}−{x}\right)^{\mathrm{2}}…

Question Number 156109 by cortano last updated on 08/Oct/21 $$\log {}_5\left(\sqrt{\mathrm{x}-9}\right)-\log {}_5({3\mathrm{x}}^2-12)-\log {}_5\left(\sqrt{2\mathrm{x}-1}\right)⩽0$$ Answered by yeti123 last updated on 08/Oct/21 $$\left(\mathrm{1}\right)\:\cap\:\left(\mathrm{2}\right)\:\cap\:\left(\mathrm{3}\right)\:\cap\:\left(\mathrm{4}\right)\:\cap\:\left(\mathrm{5}\right)\:\cap\:\left(\mathrm{6}\right)\:=\:\mathrm{9}\:<\:{x}\:\leqslant\:\mathrm{21478} \…

Question Number 90434 by john santu last updated on 23/Apr/20 $$\frac{{\log }_2\left(8x\right).{\log }_3\left(27x\right)}{x^2-\mid x\mid }⩽0$$ Commented by jagoll last updated on 28/Apr/20 $${how}\:\frac{\mathrm{1}}{\mathrm{8}}\:<\:\frac{\mathrm{1}}{\mathrm{27}}\:?\: \…

Question Number 155638 by cortano last updated on 03/Oct/21 Commented by Rasheed.Sindhi last updated on 03/Oct/21 $$x=3,y=2$$ Commented by cortano last updated on…