Question

Решите неравенство: 9×3^(x-1)+3^x=<36

Answer 1

$9cdot 3^{x-1}+3^x leq 36 \ 9cdot3^{-1}cdot 3^x+3^x leq 36 \ 3cdot 3^x+3^x leq 36 \ 3^x(3+1) leq 36 \ 3^xcdot4 leq 36 \ 3^x leq 9 \ 3^x leq 3^2 \ x leq 2$