Question

Кто быстро и подробно решит 35 баллов дам​

Answer 1

$1)72^{x}>0\\\\x\in R\\\\2)(\frac{1}{6})^{x-4}\leq\frac{1}{\sqrt[4]{6}}\\\\(\frac{1}{6})^{x-4}\leq 6^{-\frac{1}{4}}\\\\6^{4-x}\leq6^{-0,25}\\\\4-x\leq-0,25\\\\-x\leq-4,25\\\\x\geq4,25\\\\Otvet:\boxed{x\in[4,25;+\infty)}$

$3)4^{3x+2}>(\frac{1}{32})^{2x}\\\\2^{6x+4}>2^{-10x} \\\\6x+4>-10x\\\\6x+10x>-4\\\\16x>-4\\\\x>-0,25\\\\Otvet:\boxed{x\in(-0,25;+\infty)}$

$4)5^{0,25x-5}<625\\\\5^{0,25x-5} <5^{4}\\\\0,25x-5<4\\\\0,25x<9\\\\x<36\\\\Otvet:\boxed{x\in(-\infty;36)}$