Question

решите уравнение!!!!​

Answer 1

$2^{3x+7}+5^{3x+4}+2^{3x+5}-5^{3x+5}=0\\\\2^{3x+7}+2^{3x+5}=5^{3x+5}-5^{3x+4}\\\\2^{3x+4}(2^{3}+2)=5^{3x+4}(5-1)\\\\2^{3x+4}*10=5^{3x+4}*4\\\\\frac{2^{3x+4}*10 }{5^{3x+4}}=\frac{5^{3x+4}*4 }{5^{3x+4}}$

$10*(\frac{2}{5})^{3x+4}=4\\\\(\frac{2}{5})^{3x+4}=\frac{4}{10}\\\\(\frac{2}{5} )^{3x+4}=\frac{2}{5}\\\\3x+4=1\\\\3x=-3\\\\x=-1\\\\Otvet:\boxed{-1}$