Solve the logarithmic equation $\log \left(x\right)-\frac{1}{2}\log \left(x+1\right)-\log \left(x-1\right)=\log \left(\frac{x\sqrt{x+1}}{x^2-1}\right)$

Learn how to solve problems step by step online. Solve the logarithmic equation log(x)-1/2log(x+1)-log(x+-1)=log((x*(x+1)^(1/2))/(x^2+-1)). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Multiplying the fraction by \log \left(x+1\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). 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).