Let m be the minimum possible value of, log3(3^y1 + 3^y2 + 3^y3) where y1, y2, y3 are real numbers for which y1 + y2 + y3 = 9.

Let m be the minimum possible value of, log₃(3^y₁+ 3^y₂ + 3^y₃) where y₁, y₂, y₃ are real numbers for which y₁ + y₂ + y₃ = 9. Let M be the maximum possible value of (log₃x₁ + log₃x₂ + log₃x₃), where x₁, x₂, x₃ are positive real numbers for which x₁ + x₂ + x₃ = 9. Then the value of log₂(m³) + log₃(M²) is ______.

Let m be the minimum possible value of, log3(3^y1 + 3^y2 + 3^y3) where y1, y2, y3 are real numbers for which y1 + y2 + y3 = 9.

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