Solve for x: 2^x = 16.

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace 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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