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Let AAA denote the sum of an infinite geometric progression, 123+126+129+⋯ \dfrac1{2^3} + \dfrac1{2^6} + \dfrac1{2^9} + \cdots 231+261+291+⋯.
Let B=log1282B = \log_{128}2 B=log1282, compute BlogA4\Large B^{\log_A 4 } BlogA4.
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