How to simplify $\ln^2\left(x\right)+2 \ln x-3$

Question

I dont know how to simplify $\ln^2\left(x\right)+2 \ln x-3$

I dont know how to get $(\ln(x)+1)(\ln(x)+3)$

But I am stuck and don't really know how to do that.

I tried something like this: $2\ln x+2\ln x-3\:,\:\:2\ln\left(x\left(x-3\right)\right),\:2\ln\left(x^2-3x\right)$

Answer 1

Hint:

$$\ln^2(x)+2\ln{x}-3=(\ln(x)-1)(\ln(x)+3)$$