Sequences And Series Ques 21

  1. For $0<a<x$, the minimum value of function $\log _a x+\log _x a$ is $2$ .
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Answer:

Correct Answer: (False)

Solution: 28. Since, $\frac{\log _a x+\frac{1}{\log _a x}}{2}>1$, using AM $>$ GM

Here, equality holds only when $x=a$ which is not possible.

So, $\log _a x+\log _x a$ is greater than $2$ .

Hence, it is a false statement.



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