State whether true or false:
If $81 = 3^{n}$ , then $n = 5$

True

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False

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Solution

The correct option is B False
Given, $81 = 3^{n}$
$\Rightarrow 3^{4} = 3^{n}$
As bases are equal, we can equate powers.
$\Rightarrow n = 4$
Hence, the given statement is false,as $n$ is not equal to $5$ .

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