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Question

The solution set of the inequality (log10x)413(log10x)2+36>0 is

A
(1000,)
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B
(1100,100)(1000,)
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C
(0,100)(1000,)
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D
(0,11000)(1100,100)(1000,)
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Solution

The correct option is D (0,11000)(1100,100)(1000,)
Given,
(log10x)413(log10x)2+36>0, x>0
[(log10x)24][(log10x)29]>0
(log10x+2)(log10x2)(log10x+3)(log10x3)>0
log10x(,3)(2,2)(3,)
x(0,11000)(1100,100)(1000,)

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