Question

$log_{6}(144) + 2 log_{6}( \frac{1}{2} ) + 1$

Answer 1

㏒₆144+2㏒₆ (1/2) +1 = ㏒₆12²+2㏒₆ (1/2) +1 = 2㏒₆12 +2㏒₆ (1/2) +1 =

= 2㏒₆12* (1/2) +1 = 2㏒₆6 +1 = 2*1+1=3
 
можно так 

㏒₆144+2㏒₆ (1/2) +1 = ㏒₆144+㏒₆ (1/2)² +1 = ㏒₆144 *(1/2)² +1 =

= ㏒₆144*(1/4)  +1 = ㏒₆36 +1 =㏒₆6²+1  =2㏒₆6 +1= 2*1+1=3