Question

If joe wanted to create a function that modeled an exponential function with base of 8 and what exponents were needed to reach specific values, how would he set up his function? f(x) = x8 f(x) = log8x f(x) = logx8 f(x) = 8x

Answer 1

f (×)=8× is the correct answer choice
Hope this helps you !!

Answer 2

Given:

Joe wanted to create a function that modeled an exponential function with base of 8 .

To Find:

what exponents were needed to reach specific values, and how would he set up his function?

Solution:

• Since the exponent is of base 8 , it should have f(1) = 8.

• Exponential functions have, f(0) = 1

• Also, when taking log of base 8, he should get a straight line function.

By keep these points in mind,

• f (1) = 8
• f(0) = 1
• $log_8$(f(x)) = x

Therefore,

Exponent needed to reach specific values is f(x) = $8^{x}$