That would be my approach...
[tex]{log( {0.5}^{2} )}^{3} \\ {log( { (\frac{1}{2}) }^{2} )}^{3} \\ {log( \frac{1}{2}) }^{6} \\ 6 \times log( \frac{1}{2} ) \\ 6 \times log {(2)}^{ - 1} \\ - 6 \times log2\\ -6[/tex]
