0\\\\4^3*5^x-5^3*4^x>0|:(4^3*4^x)\\\\( \frac{5^x}{4^x} )- \frac{5^3}{4^3}>0\\\\ (\frac{5}{4}^x )>( \frac{5}{4}^3 )\\\\ \frac{5}{4}=1 \frac{1}{4}>1\\\\ x>3\\\\x\in(3;+\infty) " alt="64*5^x-125*4^x>0\\\\4^3*5^x-5^3*4^x>0|:(4^3*4^x)\\\\( \frac{5^x}{4^x} )- \frac{5^3}{4^3}>0\\\\ (\frac{5}{4}^x )>( \frac{5}{4}^3 )\\\\ \frac{5}{4}=1 \frac{1}{4}>1\\\\ x>3\\\\x\in(3;+\infty) " align="absmiddle" class="latex-formula">