Solve the logarithmic equation $2\log \left(x\right)-\log \left(x^2+4x+1\right)=0$

Learn how to solve combining like terms problems step by step online. Solve the logarithmic equation 2log(x)-log(x^2+4*x+1)=0. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Rewrite the number 0 as a logarithm of base 10. 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.