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Question

If $3^{2 x} = 200$ , then $x$ is between
$4$ and $5$
$2$ and $3$
$0$ and $$1$
$1$ and $2$
$3$ and $4$

A

1

and

2

B

0

and $$1$

C

2

and

3

D

3

and

4

E

4

and

5

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Solution

Verified by Toppr

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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