Solve for x: 2^x = 16.

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Prepare for the CCC Common Core Pre-Test with our comprehensive quiz. Utilize detailed flashcards and multiple-choice questions, each accompanied by insights and explanations, to enhance your readiness for the exam!

Multiple Choice

Solve for x: 2^x = 16.

Explanation:
When two expressions have the same base, their exponents must match if the expressions are equal. Here, 16 can be written as 2^4, so the equation becomes 2^x = 2^4. With the same base, the exponents are equal, so x = 4. Checking: 2^4 indeed equals 16, so this works. The other possibilities don’t work because they yield 4, 256, or 65,536 when plugged into 2^x, not 16.

When two expressions have the same base, their exponents must match if the expressions are equal. Here, 16 can be written as 2^4, so the equation becomes 2^x = 2^4. With the same base, the exponents are equal, so x = 4. Checking: 2^4 indeed equals 16, so this works. The other possibilities don’t work because they yield 4, 256, or 65,536 when plugged into 2^x, not 16.

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