Solve the logarithmic equation $\log_{5}\left(m-8\right)=\log_{5}\left(2m-15\right)$

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log5(m+-8)=log5(2*m+-15). 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. Group the terms of the equation by moving the terms that have the variable m to the left side, and those that do not have it to the right side. Subtract the values 8 and -15. Combining like terms m and -2m.