Category: Logarithms

Question Number 17386 by ajfour last updated on 05/Jul/17 $$\mathrm{Solve}\mathrm{the}\mathrm{equation}:$$$$\log {}_2\mathrm{x}\log {}_3\mathrm{x}\log {}_5\mathrm{x}=\log {}_2\mathrm{x}\log {}_3\mathrm{x}$$$$+\log {}_3\mathrm{x}\log {}_5\mathrm{x}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\mathrm{log}\:_{\mathrm{5}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{2}} \mathrm{x}\:.…

Question Number 148257 by liberty last updated on 26/Jul/21 Answered by Olaf_Thorendsen last updated on 26/Jul/21 $${(2^x-4)}^3+{(4^x-2)}^3={(4^x+2^x-6)}^3$$$$\mathrm{Let}\:{u}\:=\:\mathrm{2}^{{x}}…

Question Number 16973 by tawa tawa last updated on 29/Jun/17 $$5^{\log \left(\mathrm{x}\right)}={\mathrm{x}}^{\log \left(2\right)},\mathrm{find}\mathrm{x}.$$ Answered by mrW1 last updated on 29/Jun/17 $$\log \left(\mathrm{x}\right)\log \left(5\right)=\log \left(2\right)\log \left(\mathrm{x}\right)$$$$\mathrm{log}\:\left(\mathrm{x}\right)\left[\:\mathrm{log}\:\left(\mathrm{5}\right)−\mathrm{log}\:\left(\mathrm{2}\right)\right]=\mathrm{0}…

Question Number 82066 by john santu last updated on 18/Feb/20 $${\log }_{3+2x-x^2}\left(\frac{\sin x+\sqrt{3}\cos x}{\sin 3x}\right)=\frac{1}{{\log }_2(3+2x-x^2)}$$ Commented by john santu last updated on 18/Feb/20…

Question Number 147188 by alcohol last updated on 18/Jul/21 $$findtheremainderwhen$$$${10}^{{10}^n}divides7$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com