Step-by-step explanation:
[tex]log_{2}( {0.5}^{3} ) \\\\=log_{2}( {0.5})^{3} \\ \\ = 3log_{2} {0.5} \\ \\ = 3log_{2} \frac{1}{2} \\ \\ = 3(log_{2} 1 - log_{2} 2) \\ \\ = 3(0 - 1) \\ \\ = 3 \times ( - 1) \\ \\ = - 3 \\ \\ \huge \purple{ \boxed{\therefore \: log_{2}( {0.5})^{3} = - 3}}[/tex]
