If 3n-27- then 3n-2 isA- 3B- 1 - 3C- 1 - 9D- 9E- None of these

The correct option is A 3 [ 3^n = 27 ⇒3^n 2.3^2 = 3^3; ⇒3^n 2 = 3^3/3^2 = 3. ] ...

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Standard XII

Mathematics

Properties of Determinants

If 3n=27, the...

Question

If 3 $^{n}$ = 27 , then 3 $^{n - 2}$ is

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1/3

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1/9

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None of these

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Solution

The correct option is A
3

$\begin{matrix} 3^{n} = 27 \Rightarrow 3^{n - 2} . 3^{2} = 3^{3} \Rightarrow 3^{n - 2} = \frac{3^{3}}{3^{2}} = 3. \end{matrix}$

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If 3n = 27 , then 3n−2 is

The correct option is A 3 3n=27⇒3n−2.32=33⇒3n−2=3332=3.

If 3 $^{n}$ = 27 , then 3 $^{n - 2}$ is

The correct option is A
3

$\begin{matrix} 3^{n} = 27 \Rightarrow 3^{n - 2} . 3^{2} = 3^{3} \Rightarrow 3^{n - 2} = \frac{3^{3}}{3^{2}} = 3. \end{matrix}$