Question:
If 2x = 16, what is x?
If 2x = 16, what is x?
Show Hint
For exponential equations, express both sides with the same base and equate exponents.
Updated On: Mar 20, 2026
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step-by-step Solution
-
Express 16 as a power of 2.
16 = 24. -
Match the exponents (same base).
If 2x = 24, then x = 4. -
Verify.
24 = 2 × 2 × 2 × 2 = 16 ✓ -
Alternate (logarithm) check.
x = log2(16) = log2(24) = 4.
Final Answer
x = 4 — Correct option.
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