What is the logarithmic function modeled by the complying with table? x f(x) 8 3 16 4 32 5 pick one: a. f(x) = logx2 b. f(x) = log2x c. f(x) = 2 log10x d. f(x) = x log102
The logarithmic feature modeled by the table would certainly be
So it would certainly seem to be answer B.
You are watching: What is the logarithmic function modeled by the following table?

Step-by-step explanation:
Given that table for the logarithmic attribute is:
xf(x)
92
273
814
which deserve to be rewritten as:
xf(x)
3^22
3^33
3^44
Which are basically powers of 3
Hence required logarithmic attribute is :
Required logarithmic function is :
Step-by-action explanation:
We have been fiven that table for the logarithmic function is:
xf(x)
92
273
814
which deserve to be rewritten as:
xf(x)
3^22
3^33
3^44
Which are basically powers of 3
So we deserve to use logarithmic function as
Hence compelled logarithmic attribute is :
The logarithmic function modeled by the offered table:
f(x) = log₃x
Step-by-step explanation:
Given Table:
x f(x)
9 2
27 3
81 4
We deserve to check out that x boosts as powers of 3. And f(x) is the power.
We assume that f(x) = log₃x
Checking making use of the table:
choice 1.

x f(x)
4 log (4) 4 = 1 ... bereason 4^1 = 4
16 log(4) 16 = 2 .... because 4^2 = 16
64 log (4) 64 = 3 .... bereason 4^3 = 64
So we should come up through a duty that when we plug x right into it, it provides us f(x). Logarithims ask: what exponent execute I need to put on b (view the diagram to check out what b is) to make it equal x. In the diagram below y is our f(x).
So we have logb (x) = f(x), we have to uncover what b is. Well the values look favor 5 then 5 squared, then 5 cubed etc. So b=5.
To test this put one of the exponents (f(x)-values) on b and check out if it equates to the x worth next to it in the table.
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The answer is:
log 5 x = f(x)

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