If log (−2x)=2log (x+1), then x can be equal to
We have,
log(−2x)=2log(x+1)
⇒log(−2x)=log(x+1)2
Comparing both side and we get,
−2x=(x+1)2
⇒−2x=x2+1+2x
⇒x2+4x+1=0
Using quadratic formula and we get,
x=−4±√16−4×1×12×1
x=−4±√122
x=−4±√2×2×32
x=−4±2√32
x=−2±√3