SOLUTION: Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?      Log On


   

Question 934842: Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given the parent functions
f%28x%29+=+log%282%2C+%283x-9%29%29 and
g%28x%29+=+log%282%2C+%28x-3%29%29, what is
f%28x%29-g%28x%29=log%282%2C+%283x-9%29%29-log%282%2C+%28x-3%29%29
f%28x%29-g%28x%29=log%282%2C+%283x-9%29%2F%28x-3%29%29
f%28x%29-g%28x%29=log%282%2C+3%28x-3%29%2F%28x-3%29%29
f%28x%29-g%28x%29=log%282%2C+3cross%28%28x-3%29%29%2Fcross%28%28x-3%29%29%29
f%28x%29-g%28x%29=log%282%2C+3%29
f%28x%29-g%28x%29=log%283%29%2Flog%282%29
f%28x%29-g%28x%29=0.477%2F0.301
f%28x%29-g%28x%29=1.584