Solve the logarithmic equation $\log \left(x-1\right)+\log \left(x+1\right)=2\log \left(x+2\right)$

Learn how to solve factor by difference of squares problems step by step online. Solve the logarithmic equation log(x+-1)+log(x+1)=2log(x+2). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2, b=10 and x=x+2. The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Solve the product of difference of squares \left(x-1\right)\left(x+1\right). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b.