Suppose that \( a \) and \( b \) are positive real numbers such that \( \log _{27} a+\log _{9} b... VIDEO
Suppose that \( a \) and \( b \) are positive real numbers such that \( \log _{27} a+\log _{9} b=7 / 2 \) and \( \log _{27} b+\log _{9} a=2 / 3 \). Then find the value of \( a b \).
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