Question

log2(2-x)=log2(2-3x)+1

Answer 1

2-x>0⇒x<2
2-3x>0⇒x<2/3
x∈(-∞;2/3)
log(2)(2-x)=log(2)2(2-3x)
2-x=4-6x
-x+6x=4-2
5x=2
x=0,4