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


Asked by maham237 @ in Mathematics viewed by 459 People

Answered by maham237 @



Answer:

Required logarithmic function is :

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

Step-by-step explanation:

Given 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

Hence required logarithmic function is :

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


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