1) lg10x * lg0,1=3
(lg10 +lgx) * (lg0,1 +lgx)=3
(1+lgx)*(-1+lgx)=3
(lgx)^2-1=3
(lgx)^2=4
lgx=2
x= 100
2)log0,5(2x-3)-1/2log0,5(2x-3)=0
log0,5(2x-3)-log0,5(2x-3)^1/2=0
log0,5(2x-3/(2x-3)^1/2)=0
log0,5(2x-3)^1/2=0
(2x-3)^1/2=1
2x-3=1
X=2
^ Знак степени