Answer:
f(x) = 3(8)ˣ
Explanation:
To find an equivalent function to f(x) = 3(2)³ˣ, we need to simplify the given expression.
Let's simplify f(x) = 3(2)³ˣ step by step:
1. 2³ = 8, since 2 raised to the power of 3 is 8.
2. Now, we have 3(8)ˣ.
Comparing the simplified expression with the given options:
a. f(x) = 3(8)ˣ: This option matches the simplified expression, so it is an equivalent function to f(x) = 3(2)³ˣ.
b. f(x) = 24ˣ: This option does not match the simplified expression, so it is not an equivalent function to f(x) = 3(2)³ˣ.
c. f(x) = 27(8)ˣ: This option has a different base and coefficient, so it is not an equivalent function to f(x) = 3(2)³ˣ.
d. f(x) = 3(8x): This option has a different form, with the variable x in the exponent. It is not equivalent to f(x) = 3(2)³ˣ.
Therefore, the option that is an equivalent function to f(x) = 3(2)³ˣ is f(x) = 3(8)ˣ.