Question

Which of the following is a function equivalent to f(x) = 3(1.7)4x?

A f(x) = 25.06x
B f(x) = 3(8.35)x
C f(x) = 3(8.25x)
D f(x) = 487.97x

Answer 1

Option B-
`f(x)=3(8.35^x)`

Explanation:

Given function:
`f(x)=3(1.7)^(4x)`

Simplifying the function :

Step 1: Write the expression

`f(x)=3(1.7)^(4x)`

Step 2: Apply exponent rule (
`a^(mn)=(a^m)^n` )

`f(x)=3(1.7^4)^x`

Step 3: Solve

`f(x)=3(8.35^x)`

Therefore, Option B is correct
`f(x)=3(8.35^x)`

Answer 2

If you would like to find a function which is equivalent to f(x) = 3(1.7)4x, you can do this using the following steps:

f(x) = 3(1.7)4x = 3(1.7)^(4x) = 3(1.7^4)^x = 3(8.35)^x = 3(8.35)x

The correct result would be B f(x) = 3(8.35)x.