0, x\in R, \\ \ln(2^{x^2+|x|}\cdot3^{-|x|})\leq\ln1, \\ \ln2^{x^2+|x|}+\ln3^{-|x|})\leq0, \\ (x^2+|x|)\ln2-|x|\ln3\leq0, \\ x^2\ln2+|x|\ln2-|x|\ln3\leq0, \\ |x|(|x|\ln2+\ln2-\ln3)\leq0, \\ |x|(|x|\ln2+\ln\frac{2}{3})\leq0, \\ |x|(|x|\ln2+\ln\frac{2}{3})=0, \\ |x|=0, x_1=0, \\ |x|\ln2+\ln\frac{2}{3}=0, |x|=-\frac{\ln\frac{2}{3}}{\ln2}, x_2=\frac{\ln\frac{2}{3}}{\ln2}, x_3=-\frac{\ln\frac{2}{3}}{\ln2}, \\ " alt="2^{x^2+|x|}\cdot3^{-|x|}\leq1, \\ 2^{x^2+|x|}\cdot3^{-|x|}>0, x\in R, \\ \ln(2^{x^2+|x|}\cdot3^{-|x|})\leq\ln1, \\ \ln2^{x^2+|x|}+\ln3^{-|x|})\leq0, \\ (x^2+|x|)\ln2-|x|\ln3\leq0, \\ x^2\ln2+|x|\ln2-|x|\ln3\leq0, \\ |x|(|x|\ln2+\ln2-\ln3)\leq0, \\ |x|(|x|\ln2+\ln\frac{2}{3})\leq0, \\ |x|(|x|\ln2+\ln\frac{2}{3})=0, \\ |x|=0, x_1=0, \\ |x|\ln2+\ln\frac{2}{3}=0, |x|=-\frac{\ln\frac{2}{3}}{\ln2}, x_2=\frac{\ln\frac{2}{3}}{\ln2}, x_3=-\frac{\ln\frac{2}{3}}{\ln2}, \\ " align="absmiddle" class="latex-formula">
![\{ \ln\frac{2}{3}\approx-0,4, \ln2\approx0,7 \} \\ \frac{\ln\frac{2}{3}}{\ln2}\leq x\leq-\frac{\ln\frac{2}{3}}{\ln2}, \\ x\in [\frac{\ln\frac{2}{3}}{\ln2};-\frac{\ln\frac{2}{3}}{\ln2}].](https://tex.z-dn.net/?f=%5C%7B+%5Cln%5Cfrac%7B2%7D%7B3%7D%5Capprox-0%2C4%2C+%5Cln2%5Capprox0%2C7+%5C%7D+%5C%5C+%5Cfrac%7B%5Cln%5Cfrac%7B2%7D%7B3%7D%7D%7B%5Cln2%7D%5Cleq+x%5Cleq-%5Cfrac%7B%5Cln%5Cfrac%7B2%7D%7B3%7D%7D%7B%5Cln2%7D%2C+%5C%5C+x%5Cin+%5B%5Cfrac%7B%5Cln%5Cfrac%7B2%7D%7B3%7D%7D%7B%5Cln2%7D%3B-%5Cfrac%7B%5Cln%5Cfrac%7B2%7D%7B3%7D%7D%7B%5Cln2%7D%5D. "\{ \ln\frac{2}{3}\approx-0,4, \ln2\approx0,7 \} \\ \frac{\ln\frac{2}{3}}{\ln2}\leq x\leq-\frac{\ln\frac{2}{3}}{\ln2}, \\ x\in [\frac{\ln\frac{2}{3}}{\ln2};-\frac{\ln\frac{2}{3}}{\ln2}].")