ECZ 2018 · GCE Paper 1 — Index Notation

Solve the equation 22x − 1 = 16−2x.

  • A. x = −16
  • B. x = 110
  • C. x = 12
  • D. x = −110

Verified working — step 1

Write both sides with base 2: 16 = 2⁴, so 16−2x = 2−8x. Equal bases mean equal indices: 2x − 1 = −8x, so 10x = 1 and x = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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