Solve for x in the equation (5^{x} times 5^{x + 1} = 25).
-
A.
(-2) -
B.
(frac{-1}{2}) -
C.
(frac{1}{2}) -
D.
(2)
Correct Answer: Option C
Explanation
(5^{x} times 5^{x+1} = 25)
(5^{x} times 5^{x+1} = 5^{2})
(5^{x+x+1} = 5^{2}), equating powers,
(2x + 1 = 2 implies 2x = 1)
(therefore x = frac{1}{2})