Ask Question
21 December, 12:26

47. Express g (x) = - log4 (2x) in the general form of a logarithmic function, f (x) = k + a logb (x-h). Identify a, b, h and k.

+2
Answers (1)
  1. 21 December, 16:17
    0
    Answer: a = - 1

    b = 4

    h = 0

    k = - 1/2

    Step-by-step explanation:

    g (x) = - log4 (2x) (considering that the 4 is a base of the logarithm)

    f (x) = k + a logb (x-h) (considering that b is the base of the logarithm)

    Note that in f, x do not have a coefficient, this way we have to remove it to find a, b, h and k, so:

    g (x) = - log₄ (2x) = - (log₄2 + log₄x) = - (1/2 + log₄x) = - 1/2 - log₄x

    a = - 1

    b = 4

    h = 0

    k = - 1/2
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “47. Express g (x) = - log4 (2x) in the general form of a logarithmic function, f (x) = k + a logb (x-h). Identify a, b, h and k. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers