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Question

If xR satisfies (log10100x)2+(log1010x)2+log10x14 then x contains the interval



A

(0,10)

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B

[1092,10]
 

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C

(0,)
 

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D

(1,)

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Solution

The correct option is A

[1092,10]
 


Writing u=log10x, the given inequality can be written as
(2+u)2+(1+u)2+u142u2+7u90(2u+9)(u1)092u192log10x11092x10
 


Mathematics

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