Question:

If 2x = 16, what is x?

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For exponential equations, express both sides with the same base and equate exponents.
Updated On: Aug 11, 2025
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The Correct Option is C

Solution and Explanation

Step-by-step Solution

  1. Express 16 as a power of 2.
    16 = 24.
  2. Match the exponents (same base).
    If 2x = 24, then x = 4.
  3. Verify.
    24 = 2 × 2 × 2 × 2 = 16 ✓
  4. Alternate (logarithm) check.
    x = log2(16) = log2(24) = 4.

Final Answer

x = 4Correct option.

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