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Verified answer
³log(5x-2) ≥ 1³log(5x-2) ≥ ³log3
5x - 2 ≥ 3
5x ≥ 5
x ≥ 1
HP{x ≥ 1}
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³log (5x-2) >/= ³log3¹
5x-2 >/= 3
5x >/= 3+2
x >/= 5/5
x >/= 1