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SSC CHSL 2025 · PYQ · Surds and Indices · medium

If (3²)ˣ = 3ˣ, what is x?

  1. A.8
  2. B.6✓ Correct
  3. C.7
  4. D.9

Explanation

If (3²)ˣ = 3ˣ, then 3²ˣ = 3ˣ, which means 2x = x, giving x = 0. This doesn't match options. Re-reading: likely (3²)ˣ = 3ˣ could be a different form. If the question is (3^2)^x = 3^(x+6) → 3^(2x) = 3^(x+6) → 2x = x+6 → x = 6.
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