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Squaring an Inequality

If 32x = 20...

Question

If $3^{2 x} = 200$ , then $x$ is between

0

and $$1$

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1

and

2

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2

and

3

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3

and

4

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4

and

5

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Solution

The correct option is B $2$ and $3$
Given, $3^{2 x} = 200$
$\Rightarrow 2 x = \frac{log 200}{log 3} = 4.823$
$\Rightarrow x = 2.41$
Therefore $x$ lies between $2$ and $3$ .

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