Incorrect. Use the product property: $\displaystyle{\log}_{{b}}{\left({M}{N}\right)}={\log}_{{b}}{M}+{\log}_{{b}}{N}\usepackage{cmbright}\Huge\$

This will give you: $\displaystyle{\log}_{{{2}}}{\left({8}\cdot{32}\right)}={\log}_{{{2}}}{8}+{\log}_{{{2}}}{32}\usepackage{cmbright}\Huge\$

Rewrite 8 and 32 as powers of 2 and use the definition of logarithm to simplify further.