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

f(x) − g(x) = log2 (2x − 6)

f(x) − g(x) = log2 (2x − 12)

f(x) − g(x) = log2 one third

f(x) − g(x) = log2 3

Question

Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?

 f(x) − g(x) = log2 (2x − 6)

 f(x) − g(x) = log2 (2x − 12)

 f(x) − g(x) = log2 one third

 f(x) − g(x) = log2 3

jdoe0001 · Answer

http://www.chilimath.com/algebra/advanced/log/images/rules%20of%20exponents.gif <--- use the rule 2 listed there, them simplify the rational

tkhunny · Answer

I'm going to guess the answer is supposed to be the last one.  Too bad that is incorrect.  {sigh}

jdoe0001 · Answer

ehhe