Question

(2/5)^(4x-3)>(5/2)^(2-3x)

Answer 1

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