Keeping track of logs 2

Algebra Level 4

Choose the correct solution set of the given inequality
x 1 l o g 2 ( 4 x ) < x 1 l o g 2 ( 1 + x ) \large {|x-1|^{log_2 {(4-x)}}<{|x-1|^{log_2 {(1+x)}}}}

( 1 , 3 2 ) ( 1 , 4 ) (-1,\frac {3}{2}) \cup (1,4) ( 1 3 , 1 2 ) (\frac {1}{3}, \frac {1}{2}) ( 1 , 1 ) ( 3 , 4 ) (-1,1) \cup (3,4) ( 0 , 3 2 ) ( 2 , 4 ) (0, \frac {3}{2})\cup (2,4)

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