Question Number 63378 by minh2001 last updated on 03/Jul/19
$$\underset{\mathrm{2}} {\overset{{x}} {\int}}\frac{\mathrm{1}}{{x}}{dx}=\mathrm{2}{ln}\left(\mathrm{3}\right)−{ln}\left(\mathrm{2}\right) \\ $$$${please}\:{help}\:{me}\:{to}\:{solve}\:{for}\:{x} \\ $$
Answered by MJS last updated on 03/Jul/19
$$\mathrm{the}\:\mathrm{borders}\:\mathrm{must}\:\mathrm{be}\:\mathrm{independent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{variable} \\ $$$$\underset{\mathrm{2}} {\overset{{x}} {\int}}\frac{{dt}}{{t}}=\mathrm{ln}\:{x}\:−\mathrm{ln}\:\mathrm{2} \\ $$$$\Rightarrow\:\mathrm{ln}\:{x}\:=\mathrm{2ln}\:\mathrm{3}\:\Rightarrow\:{x}=\mathrm{9} \\ $$