Simplify the expression

The calculator said this...  

log49

2 ^{log ₄x}

Note  that  we can write   2  as  (4)^(1/2)

So we have

[ 4 ^(1/2)]^(log ₄ x)  =

4 ^ [ (1/2) log ₄ x ]   =      [ remember that   a log b   =  log b ^a  ]

4^ [ log ₄ x ^1/2 ]   =        [   remember that    a ^ [ log _a b ]   =  b   ]

x^1/2  =

√x