Question

1/3^(3x-2)=81^(4x+1)

Answer 1

$( frac{1}{3} )^{3x-2}=81^{4x+1}\ 3^{-(3x-2)}=(3^4)^{4x+1}\ 3^{-3x+2}=3^{16x+4} \ -3x+2=16x+4 \ -3x-16x=4-2 \ -19x=2 \ 19x=-2 \ x=- frac{2}{19}$

Answer 2

$(frac{1}{3})^{3x-2}=81^{4x+1} \ 3^{-3x+2}=3^{16x+4} \ -3x+2=16x+4 \ -19x=2 \ x=-frac{2}{19}$