Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(9*w)=log(8*w+7). 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. Move everything to the left hand side of the equation. Combining like terms 9w and -8w. We need to isolate the dependent variable w, we can do that by simultaneously subtracting -7 from both sides of the equation.

Solve the logarithmic equation log(9*w)=log(8*w+7)