What is the logarithmic function modeled by the following table? x f(x) 4 1 16 2 64 3

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 445 People

What is the logarithmic function modeled by the following table?
x f(x)
4 1
16 2
64 3
f(x) = log4x

f(x) = logx4

f(x) = 4 log10x

f(x) = x log104

Answered by maham237 @ 22/12/2020

Answer: option 1.

$log_{4} x$

x f(x)

4 log (4) 4 = 1 ... because 4^1 = 4

16 log(4) 16 = 2 .... because 4^2 = 16

64 log (4) 64 = 3 .... because 4^3 = 64

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