Solve for x: 2^x = 16.

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Master 8th Grade FAST Mathematics. Explore multiple choice questions with hints, explanations, and solutions. Enhance your Pre-Algebra skills and confidently prepare for your test!

Multiple Choice

Solve for x: 2^x = 16.

Explanation:
When solving an exponential equation, rewrite both sides with the same base. Here, 16 is a power of 2 because 2^4 = 16. So the equation becomes 2^x = 2^4. With the same positive base (not equal to 1), the exponents must be equal, giving x = 4. This indeed makes 2^x equal to 16. The other options would produce 4, 32, or 256, which aren’t equal to 16.

When solving an exponential equation, rewrite both sides with the same base. Here, 16 is a power of 2 because 2^4 = 16. So the equation becomes 2^x = 2^4. With the same positive base (not equal to 1), the exponents must be equal, giving x = 4. This indeed makes 2^x equal to 16. The other options would produce 4, 32, or 256, which aren’t equal to 16.

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