Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64
A
-6
B
-5
C
-7
D
-4
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\left(\frac{1}{2}\right)^{t - 1} = 64,\)
rewrite \(64\) as a power of \(\frac{1}{2}\):
\(64 = \left(\frac{1}{2}\right)^{-6}.\)
Equate the exponents: \(t - 1 = -6\)
Thus, \(t = -5\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #74189)