If $$12$$≤$$log0.1x$$≤$$2$$ then

Correct option is 1, 2, 4undefined

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If $\frac{1}{2} \leq \log_{0.1} x \leq 2$ then

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The maximum value of x is 1/10

x lies between 1/100 and 1/10

x does not lie between 1/100 and 1/10

The minimum value of x is 1/100

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detailed solution

Correct option is A

12≤log0.1 x≤2 12≤log0.1 x⇒log0.10.11/2≤log0.1 x ⇒0.11/2≥x⇒x≤110 log0.1 x≤2⇒log0.1 x≤log0.1 0.12 x≥0.12⇒x≥1100, ∴1100≤x≤110. Hence, xmax=110, xmin=1100.

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If 12≤log0.1x≤2 then

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If $\frac{1}{2} \leq \log_{0.1} x \leq 2$ then