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Find the maximum possible value of 8*27^(logx) + 27*8^(logx) - x^3, where x>0 (It is a question based on theory of equations. Solve without using differentiation)

Find the maximum possible value of 8*27^(logx) + 27*8^(logx) - x^3, where x>0 (It is a question based on theory of equations. Solve without using differentiation)

Grade:11

1 Answers

Anish Singhal
askIITians Faculty 1192 Points
5 years ago
I suppose log base is 6 coz then only we can solve this problem, assume logx=x^3(base 6) and proceed.555-1171_Capture.PNG

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