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To solve this problem, we need to calculate the values of \( f(3) \) and \( g(3) \) and then compare them.

Given:
\[
f(x) = 5x \quad \text{and} \quad g(x) = 4^x
\]

We substitute \( x = 3 \) into both functions:

1. **Calculate \( f(3) \):**
   \[
   f(3) = 5 \times 3 = 15
   \]

2. **Calculate \( g(3) \):**
   \[
   g(3) = 4^3 = 4 \times 4 \times 4 = 64
   \]

Now we compare \( f(3) \) and \( g(3) \):

\[
f(3) = 15 \quad \text{and} \quad g(3) = 64
\]

Since \( 15 < 64 \), we have:

\[
f(3) < g(3)
\]

### Conclusion:
The correct answer is:
- **\( f(3) < g(3) \)**

Would you like to explore more details or have any further questions?

### Related Questions:
1. How do you compute values for other functions when given specific inputs?
2. What are exponential functions, and why do they grow faster than linear functions?
3. How can you find the intersection point of two functions graphically and algebraically?
4. What is the significance of comparing functions at a particular point?
5. How does the base of an exponential function affect its growth rate?

### Tip:
Exponential functions grow much faster than linear functions as the input value increases.

Given the functions f(x) = 5x and g(x) = 4^x, which of the following statements is true?

Explore the comparison of the functions f(x) = 5x and g(x) = 4^x at x = 3, where f(3) = 15 and g(3) = 64. This problem highlights the difference in growth rates between linear and exponential functions. Suitable for Grades 9-12.

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