The correct option is A 2 Given, 3^n 2=181 ⇒ 3^n 2=13^4 ⇒ 3^n 2=3^ 4 ⇒ n 2= 4 ⇒ n= 2 ...

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Laws of Exponents for Real Numbers

If 3n-2=181...

Question

If $3^{n - 2} = \frac{1}{81}, n =$

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Solution

The correct option is A $- 2$
Given, $3^{n - 2} = \frac{1}{81}$
$\Rightarrow 3^{n - 2} = \frac{1}{3^{4}}$
$\Rightarrow 3^{n - 2} = 3^{- 4}$
$\Rightarrow n - 2 = - 4$
$\Rightarrow n = - 2$

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