WAEC - Further Mathematics (2006 - No. 14)
Evaluate \(\log_{0.25} 8\)
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(-\frac{2}{3}\)
\(-\frac{3}{2}\)
Објашњење
\(\log_{0.25} 8 = x\)
\(8 = 0.25^{x}\)
\(2^{3} = (2^{-2})^{x} \implies 3 = -2x\)
\(x = -\frac{3}{2}\)
\(\log_{0.25} 8 = x\)
\(8 = 0.25^{x}\)
\(2^{3} = (2^{-2})^{x} \implies 3 = -2x\)
\(x = -\frac{3}{2}\)