Math Problem Statement

Evaluate the function f(x) = 5^x for x = 2.

Solution

The problem requires evaluating the function f(x)=5xf(x) = 5^x when x=2x = 2.

Solution:

Substitute x=2x = 2 into the function:

f(2)=52=25f(2) = 5^2 = 25

Final Answer:

f(2)=25f(2) = 25

Let me know if you'd like further explanation!


Here are five related questions to explore:

  1. What is f(x)=5xf(x) = 5^x when x=3x = 3?
  2. How do you evaluate exponential functions with fractions as exponents?
  3. What happens when the base bb in bxb^x is less than 1?
  4. How can you graph the function f(x)=5xf(x) = 5^x?
  5. What is the derivative of f(x)=5xf(x) = 5^x with respect to xx?

Tip: Exponential functions grow very quickly as the exponent increases—keep this in mind when solving problems!

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Substitution

Formulas

f(x) = b^x

Theorems

Laws of Exponents

Suitable Grade Level

Grades 6-8