WAEC - Mathematics (1997 - No. 29)
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)
-4
-2
11/3
2
4
Explanation
\(\frac{64}{27} = (\frac{3}{4})^{t-1}\)
\((\frac{3}{4})^t = \frac{64}{27} \times \frac{3}{4} = \frac{16}{9}\)
\((\frac{3}{4})^t = (\frac{9}{16})^{-1}\)
\((\frac{3}{4})^t = (\frac{3}{4})^{-2}\)
t = -2
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