Solve the logarithmic equation $\ln\left(5x-5\right)=\ln\left(x-4\right)$

Learn how to solve problems step by step online. Solve the logarithmic equation ln(5x-5)=ln(x-4). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. 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. Subtract the values 5 and -4. Combining like terms 5x and -x.