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WAEC - Further Mathematics (2006 - No. 14)

Evaluate \(\log_{0.25} 8\)
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(-\frac{2}{3}\)
\(-\frac{3}{2}\)

Forklaring

\(\log_{0.25} 8 = x\)

\(8 = 0.25^{x}\)

\(2^{3} = (2^{-2})^{x} \implies 3 = -2x\)

\(x = -\frac{3}{2}\)

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