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Question

Solve the following inequality:
log224x343x>12

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Solution

Since there is square, log22(4x343x) is always >12 in its domain

4x343x>0(4x3)(43x)>0(4x3)(3x4)<0x(34,43) 4x3>04x>3x>34 43x>04>3x43>x
Taking intersection, we get x(34,43)

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