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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