Question

`log_(2)( {0.5}^(3) )`
How do you solve this guys ?​

Answer 1

Explanation:

`log_(2)( {0.5}^(3) ) \\\\=log_(2)( {0.5})^(3) \\ \\ = 3log_(2) {0.5} \\ \\ = 3log_(2) (1)/(2) \\ \\ = 3(log_(2) 1 - log_(2) 2) \\ \\ = 3(0 - 1) \\ \\ = 3 * ( - 1) \\ \\ = - 3 \\ \\ \huge \purple{ \boxed{\therefore \: log_(2)( {0.5})^(3) = - 3}}`