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Question

If 2log3x4logx275 (x>1), then the number of integral values of x is 


Solution

2log3x4logx275
2log3x43logx35
Let log3x=y
2y12y52y25y120     [ As x>1y>0 ] 
(2y+3)(y4)0y[32,4]
But y>0
0<y4
0<log3x41<x81

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