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weqwewe [10]
3 years ago
7

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

Required logarithmic function is :

f\left(x\right)=\log_3\left(x\right)

Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

So we can use logarithmic function as

\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2

Hence required logarithmic function is :

f\left(x\right)=\log_3\left(x\right)

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