## Step-by-step solution

Problem to solve:

Learn how to solve logarithmic equations problems step by step online.

$\log \left(x+1\right)-\log \left(x-1\right)=3$

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(10,x+1)=log(10,x-1)+3. Grouping terms. 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 3 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.