Use long division to find the quotient, q(x), and remainder, r(x)
(x2-2x-15) / (x-5)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

b. f(x) = –√x + 3this is the correct answer