Solve for x: 2^x = 16.

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

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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