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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

Verified Answer :

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

Answer:

Function would be f(x) : \(7^{x}\).

Step-by-step 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) : \(7^{x}\).