Incorrect. Use the power property, $\displaystyle{\log}_{{b}}{{M}}^{{n}}={n}\cdot{\log}_{{b}}{M}\usepackage{cmbright}\Huge\$ , to simplify the expression to $\displaystyle{8}\cdot{\log}_{{{5}}}{125}\usepackage{cmbright}\Huge\$ . Then simplify $\displaystyle{\log}_{{{5}}}{125}\usepackage{cmbright}\Huge\$ , using the definition of logarithm. The correct answer is 24.