Question

PRECISO DA NÚMERO 2. me ajudeeeeee

Answer 1

$a)\ 3^{5x+2}=9^{-1}\\ \ \ 3^{5x+2}=3^{-2}\\ 5x+2=-2\\ 5x=-2-2\\ 5x=-4 x= -\frac{4}{5} \\ S=\{-\frac{4}{5}\} \\ \\ b)\ 27^{x-2}= \frac{1}{3} \\ \\(3^3)^{x-2}^= 3 ^{-1}\\ \\3^{3x-6}^= 3 ^{-1}\\ 3x-6=-1\\ 3x=-1+6\\ 3x=5\\ x= \frac{5}{3} \\ S= \{\frac{5}{3}\} \\ \\ c)\ 2^{x^2-3}=4^x\\ \ 2^{x^2-3}=(2^2)^x\\ \ 2^{x^2-3}=2^{2x}\\ x^2-3=2x\\ x^2-2x-3=0\\ S= \{-1, 3 \}$