Category: Logarithms

Question Number 172085 by Mikenice last updated on 23/Jun/22 $$solve$$$$(3^{x^3-72x+39}-9\sqrt{3})\times log(7-x)=0$$ Answered by mr W last updated on 23/Jun/22 $$\mathrm{log}\:\left(\mathrm{7}−{x}\right)=\mathrm{0}\:\Rightarrow\mathrm{7}−{x}=\mathrm{1}\:\Rightarrow{x}=\mathrm{6}\:…

Question Number 172081 by Mikenice last updated on 23/Jun/22 $$solve$$$${log}_{\frac{1}{3}}(5x-1)\underset{-}{>}0$$ Commented by mr W last updated on 23/Jun/22 $$\mathrm{5}{x}−\mathrm{1}\geqslant\mathrm{1}…

Question Number 172077 by Mikenice last updated on 23/Jun/22 $$solve$$$${log}_4(x+12).{logx}^2=1$$ Commented by mr W last updated on 24/Jun/22 $$\mathrm{log}\:\left({x}+\mathrm{12}\right)\mathrm{log}\:{x}^{\mathrm{2}}…

Question Number 172078 by Mikenice last updated on 23/Jun/22 $$solve$$$$\frac{2logx}{log(5x-4)}=1$$ Answered by Rasheed.Sindhi last updated on 23/Jun/22 $$\frac{2logx}{log(5x-4)}=1$$$$\mathrm{2}{logx}={log}\left(\mathrm{5}{x}−\mathrm{4}\right) \…

Question Number 172074 by Mikenice last updated on 23/Jun/22 $$solve:$$$$5^{logx}=50-x^{log5}$$ Answered by aleks041103 last updated on 23/Jun/22 $$\mathrm{5}^{{logx}} =\mathrm{10}^{{log}\mathrm{5}\:{logx}} =\left(\mathrm{10}^{{logx}}…