Solve (5^{2(x – 1)} times 5^{x + 1} = 0.04)
-
A.
(frac{1}{3}) -
B.
(frac{1}{4}) -
C.
(-frac{1}{5}) -
D.
(-frac{1}{3})
Correct Answer: Option D
Explanation
(5^{2(x – 1)} times 5^{x + 1} = 0.04)
(5^{2x – 2} times 5^{x + 1} = 5^{-2})
(2x – 2 + x + 1 = -2)
(3x – 1 = -2 implies 3x = -2 + 1 = -1)
(x = -frac{1}{3})