Math Problem Statement

Evaluate the expression 3x5^x when x is 2. .

Solution

To evaluate the expression 3×5x3 \times 5^x when x=2x = 2, substitute x=2x = 2 into the expression:

3×523 \times 5^2

First, calculate 525^2:

52=255^2 = 25

Now, multiply by 3:

3×25=753 \times 25 = 75

So, the value of the expression when x=2x = 2 is 75\boxed{75}.

Would you like more details or have any other questions? Here are some related questions:

  1. What is the general form of the expression 3×5x3 \times 5^x?
  2. How does the expression change when x=3x = 3?
  3. What would the result be for x=0x = 0?
  4. Can you explain the properties of exponents used here?
  5. How would you solve similar problems involving different bases?

Tip: Remember that when evaluating expressions with exponents, start by solving the exponent part first!

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents

Formulas

3 × 5^x

Theorems

Exponentiation properties

Suitable Grade Level

Grades 6-8