Learn how to solve problems step by step online. Solve the logarithmic equation log(x+1)+log(x+3)=2log(x). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2 and b=10. The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. 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. Grouping all terms to the left side of the equation.

Solve the logarithmic equation log(x+1)+log(x+3)=2log(x)