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= (³/₂) (⁵log 3).(³/₂)(³log 5) + (⁵/₄)(²log 2)
= (³/₂)(³/₂) (⁵log 3.³log5) + (⁵/₄)(1)
= (⁹/₄)(⁵log 5) +⁵/₄
= (⁹/₄ + ⁵/₄) = ¹⁴/₄