WAEC 2025

Given that log\(_2a\) = log\(_84\), find a.

A2\(^{\frac{1}{2}}\)
B2\(^{\frac{2}{3}}\)
C4\(^{\frac{2}{3}}\)
D4\(^{\frac{1}{2}}\)

Explanation

Using change of base, \(\log_8 4 = \frac{\log_2 4}{\log_2 8} = \frac{2}{3}\). Therefore, \(\log_2 a = \frac{2}{3}\), which gives \(a = 2^{\frac{2}{3}}\).

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