Home » Further Mathematics » Given that (2^{x} = 0.125), find the value of x.

Given that (2^{x} = 0.125), find the value of x.

Given that (2^{x} = 0.125), find the value of x.

  • A.
    0
  • B.
    -1
  • C.
    -2
  • D.
    -3
Correct Answer: Option D
Explanation

(2^{x} = 0.125 = frac{125}{1000})

(2^{x} = frac{1}{8} = 8^{-1})

(2^{x} = 2^{-3})

(x = -3)