Question

If Kim wanted to create a function that modeled a base of 7 and what exponents were needed to reach specific values, how would she set up her function?

f(x) = x^7

f(x) = 7^x

f(x) = log7x

f(x) = logx7

Answer 1

Function would be f(x) :
`7^(x)`.

Explanation:

Given : Function that modeled a base of 7 .

To find : what exponents were needed to reach specific values, set up function.

Solution : We have given that modeled of base 7.

By the exponent rule :
`b^(a)` , where b is base and a is an exponent of a function .

So. Kim can setup function with base 7 and exponent x as
`7^(x)`.

Therefore , function would be f(x) :
`7^(x)`.

Answer 2

f(x) = log₇(x)
Will relate f(x) as a power of 7 which will be x.