1)3^2x-3^(2x-2)=72
3^2x-2)*(9-1)=72
3^(2x-2)*8=72
3^(2x-2)=72:8
3^(2x-2)=9
2x-2=2
2x=2+2
2x=4
x=4:2
x=2
2)log(3)x-1/2*log(3)x+1/4log(3)x=3
3/4*log(3)x=3
log(3)x=3:3/4
ljg(3)x=4
x=3^4
x=81
3)log²(0,5)x+2log(0,5)x-3=0
log(0,5)x=a
a²+2a-3=0
a1+a2=-2 U a1*a2=-3
a1=-3⇒log(0,5)x=-3⇒x=(1/2)^-3=8
a2=1⇒log(0,5)x=1⇒x=0,5