Sarkari RiseLogin
NDA 2026 · PYQ · Logarithms · easy

If 1 − log₁₀ 2 = log₁₀(5^x + 4^x + 3^x + 2^x + 1), then what is a value of x?

  1. A.10
  2. B.5
  3. C.1
  4. D.0✓ Correct

Explanation

1 − log₁₀ 2 = log₁₀ 10 − log₁₀ 2 = log₁₀ 5. So 5^x + 4^x + 3^x + 2^x + 1 = 5. Testing x = 0: 1 + 1 + 1 + 1 + 1 = 5. ✓
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →

More Logarithms questions

Want more NDA practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Logarithms practice