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Question

What is the minimum value of x which satisfies the inequation (3)2<(3)x ?


A

-2

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B

2

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C

0

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D

4

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Solution

The correct option is D

4


In the given inequation, LHS is positive.

We need to find the value of x such that LHS <RHS

If the exponent of a negative number is even, then the resulting number is always positive.

RHS is positive only when x is even.

So, the minimum value of x should be an even number greater than 2, which is 4.


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