2 Points
If you vertically shift the linear parent function, F(x) = x, down six units, what
is the equation of the new function?
O
A. G(x) = 6x
G(x) = x-6
G(x) = x + 6
O D. G(x) = 2x
SUBMIT

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

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: