JAMB - Mathematics (2025 - No. 41)
Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64
-6
-5
-7
-4
Paliwanag
\(\left(\frac{1}{2}\right)^{t - 1} = 64,\)
rewrite \(64\) as a power of \(\frac{1}{2}\):
\(64 = \left(\frac{1}{2}\right)^{-6}.\)
Equate the exponents: \(t - 1 = -6\)
Thus, \(t = -5\)