1)
log2 (10-х)/(1-3х)=log2 2
(10-x)/(1-3x)=2
10-x=2-6x
8=-5x
x=8/-5=-1.6
2)
log16 (x-1)(x+6)=3/4
log16(x^2+5x-6)=log16 8
x^2+5x-6=8
x^2+5x-14=0
D=25+56=81
x1=(-5-9)/2=-7
x2=(-5+9)/2=2
3).
log0.5 (3x+7)(-x-1)=0
log0.5 (-3x^2-10x-7)=log0.5 1
-3x^2-10x-7=1
-3x^2-10x-8=0
D=100-96=4
x1=(10-2)/-6=-1.5
x2=(10+2)/-6=-2