Question

log4(1/2+x)-log4x=1/2

4-основание логарифма

Answer 1

log4(1/2+x) = log4(x) +1/2
log4(1/2+x) = log4(x) +log4(2)
log4(1/2+x) = log4(x+2)
1/2+x=x+2
1/2+x=2+x
1=(2+x)^2
|2+x| =1
2+x =1; x= -1
или
2+x =-1; x=-3
ответ x={-3; -1}