Let m be the minimum possible value of _3(3^ y_1 + 3^ y_2 + 3^ y_3 ), where y_1, y_2, y_3 are real numbers...

Question

Let m be the minimum possible value of _3(3^ y_1 + 3^ y_2 + 3^ y_3 ), where y_1, y_2, y_3 are real numbers for which y_1 + y_2 + y_3 = 9. Let M be the maximum possible value of ( _3 x_1 + _3 x_2 + _3 x_3), where x_1, x_2, x_3 are positive real numbers for which x_1 + x_2 + x_3 = 9. Then the value of _2(m^3) + _3(M^2) is _____

Accepted Answer

8

JEE Advanced 2020 Mathematics question

Solution

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