WAEC 2025 · Paper 1 · Q5✱✱

Given that log⁡2a=log⁡84\log_2 a = \log_8 4, find aa.

Worked solution (try it first)
  1. Find log⁡84\log_8 4: 8=238 = 2^3 and 4=224 = 2^2, so 823=22=48^{\frac23} = 2^2 = 4 and log⁡84=23\log_8 4 = \frac23.
  2. So log⁡2a=23\log_2 a = \frac23.
  3. Change to index form: a=223a = 2^{\frac23}, option B.

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