The hosts finished at 259/5, thanks to Steve Smith's 72 not out and Rogers' 57 runs, which was studded with five boundaries.
"I am just frustrated really. I think three scores in the fifties is good in some respect but it is also very disappointing that the amount of handwork you put and then put yourself in that position. You can get a big score," Rogers told reporters.
Rogers had been under pressure after a run of poor form but came up good with fifties in both innings in the second Test at Brisbane. He started well here as well, continuing from where he left off.
"That's the nature of the beast. It is tough business. You know that you are going to come under criticism if you are not scoring runs. I am not stupid enough to think that I own a place in the side as it's a privilege. I am just trying to make most of it," said the opener.
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