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Question

The solution set of the inequality 3log3x1<3log3(x6)+3 is

A
(5,)
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B
(6,)
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C
(1,2)(3,5)
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D
(,2)(5,)
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Solution

The correct option is B (6,)
3log3x1<3log3(x6)+3
Clearly, x>6
x1<(x6)+3
x1<x3
Squaring both sides, we get
(x1)<(x3)2
(x1)<x26x+9
x27x+10>0
(x5)(x2)>0
x(,2)(5,)
But x>6
x(6,)

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