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
