Find the value of t for which (frac{64}{27} = (frac{3}{4})^{t – 1})
-
A.
-4 -
B.
-2 -
C.
11/3 -
D.
2 -
E.
4
Correct Answer: Option B
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