Evaluate (log_{0.25} 8)
-
A.
(frac{3}{2}) -
B.
(frac{2}{3}) -
C.
(-frac{2}{3}) -
D.
(-frac{3}{2})
Correct Answer: Option D
Explanation
(log_{0.25} 8 = x)
(8 = 0.25^{x})
(2^{3} = (2^{-2})^{x} implies 3 = -2x)
(x = -frac{3}{2})
Evaluate (log_{0.25} 8)
(log_{0.25} 8 = x)
(8 = 0.25^{x})
(2^{3} = (2^{-2})^{x} implies 3 = -2x)
(x = -frac{3}{2})