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bulgar [2K]
3 years ago
11

Find f(5) for f(x)=1/9(3)^x

Mathematics
1 answer:
mina [271]3 years ago
7 0

We know: 9 = 3²

Therefore \dfrac{1}{9}=\dfrac{1}{3^2}

We know the property:

\dfrac{a^n}{a^m}=a^{n-m}

Therefore \dfrac{1}{9}\cdot3^x=\dfrac{3^x}{3^2}=3^{x-2}

We must find f(5). Put x = 5 to the equation of the function:

f(5)=3^{5-2}=3^3=3\cdot3\cdot3=27

<h3>Answer: f(5) = 27.</h3>
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