0, 7x>4, x>4/7\\\\log_{1/2}(7x-4)\geq log_{1/2}2\\\\7x-4\leq 2\\\\7x\leq 6\\\\x\leq 6/7\\\\x\in (4/7;6/7]\\\\\\\\y=5e^x-3lnx\\y`=5e^x-\frac{3}{x}" alt="log_{1/2}(7x-4)\cup -1|7x-4>0, 7x>4, x>4/7\\\\log_{1/2}(7x-4)\geq log_{1/2}2\\\\7x-4\leq 2\\\\7x\leq 6\\\\x\leq 6/7\\\\x\in (4/7;6/7]\\\\\\\\y=5e^x-3lnx\\y`=5e^x-\frac{3}{x}" align="absmiddle" class="latex-formula">