2² Log 8 +²Log √2+3² Log ¼

2² Log 8 +²Log √2+3² Log ¼
= ²log8² + ²log2^½ + ²log4^-3
= ²log(2³)² + ½ x 1 + ²log(2²)-³
= ²log2^6 + ½ + ²log2^-6
= 6 + ½ – 6
= ½