Solve for x: 2^x = 16.

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

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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