Question

$(frac{1}{4}) ^{2+3x} leq 8^{x-1}$

Answer 1

$( frac{1}{4} ) ^{2+3x} leq 8 ^{x-1} \ ( frac{1}{2} ) ^{2(2+3x)} leq 2 ^{3(x-1)} \ ( frac{1}{2} ) ^{2(2+3x)} leq frac{1}{2} ^{-3(x-1)} \ 2(2+3x) leq -3(x-1) \ 4+6x leq -3x+3 \ 6x+3x leq 3-4 \ 9x leq -1 \ x leq - frac{1}{9}$