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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Basics of Mathematics

NDA 2018 · Mathematics · Basics of Mathematics

If 0 < a < 1 , the value of _ 10 a is negative. This is justified by

If 0<a<10 < \mathrm{a} < 1, the value of log⁡10\log _{10} a is negative. This is justified by

Options

  1. ANegative power of 10 is less than 1
  2. BNegative power of 10 is between 0 and 1
  3. CNegative power of 10 is positive
  4. DNegative power of 10 is negative

Correct answer

B. Negative power of 10 is between 0 and 1

Step-by-step solution

0<a<10 < \mathrm{a} < 1 Let log⁡10a=−x⇒a=10−x10−x\log _{10} \mathrm{a}=-\mathrm{x}\Rightarrow \mathrm{a}=10^{-x}10^{-x} can have values only between 0 and 1
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