Question

3^(x+3)=0.75*2^(3x+8)

Answer 1

$displaystyle tt 3^{x+3}=0,75cdot2^{3x+8}\\27cdot3^{x}=0,75cdot2^{8}cdot2^{3x}\\27cdot3^{x}=192cdot2^{3x}\\frac{27cdot3^{x}}{8^{x}}=192\\\bigg(frac{3}{8}bigg)^{x}=frac{192}{27}\\\ bigg(frac{3}{8}bigg)^{x}=frac{64}{9}\\\bigg(frac{3}{8}bigg)^{x}=bigg(frac{8}{3}bigg)^{2}\\\x=-2$

Ответ: {-2}