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Product Law

If √2401 = ...

Question

If $\sqrt{2401} = \sqrt{7^{x}},$ then the value of 'x' is

A

3

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B

4

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C

5

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D

6

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Solution

The correct option is A $4$
$\sqrt{2401} = \sqrt{7^{x}}$
$\Rightarrow 7^{x} = 2401$
$\Rightarrow x = 4$

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