No Limit Hold'em $0.02/$0.05
PokerStars
6 players
Formatted by pokercopilot.com: Poker HUD for Mac and Windows

Stacks:
UTG - UTG ($5.81)
MP - Hero ($5.42)
CO - CO ($4.17)
BTN - BTN ($4.94)
SB - SB ($5.28)
BB - BB ($10.39)

Preflop: ($0.07, 6 players) Hero is MP with Ad As
UTG raises to $0.15, Hero raises to $0.52, 4 folds, UTG calls $0.37

Flop: 7h 9h Qd ($1.11, 2 players - Hero: $4.90, UTG: $5.29)
UTG checks, Hero bets $0.73, UTG calls $0.73

Turn: 7s ($2.57, 2 players - Hero: $4.17, UTG: $4.56)
UTG checks, Hero bets $1.69, UTG calls $1.69

River: 3h ($5.95, 2 players - Hero: $2.48, UTG: $2.87)
UTG checks, Hero checks

Total Pot: $5.95
UTG shows Ac Qs (two pair, Queens and Sevens)
Hero shows Ad As (two pair, Aces and Sevens)

Hero wins $5.70

How big should I bet on this turn? If I bet 1/3 pot I could fold to a shove on the river, but it seems like his range is pretty much AQ, flush draw or the nuts. Therefore I personally think 2/3 pot is better for value.