SOLUTION: The graph of the function f(x)=log log (2x-3) has a vertical asymptote at?

Algebra ->  Testmodule -> SOLUTION: The graph of the function f(x)=log log (2x-3) has a vertical asymptote at?      Log On


   

Question 1189389: The graph of the function f(x)=log log (2x-3) has a vertical asymptote at?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In general, f%28x%29=log%28%28g%28x%29%29%29 is defined only when g(x)>0.

So this function, f%28x%29=log%28%28log%28%282x-3%29%29%29%29, is defined only when log%28%282x-3%29%29%3E0; and that is when 2x-3%3E10%5E0=1

2x-3>1
2x>4
x>2

ANSWER: The graph of f%28x%29=log%28%28log%28%282x-3%29%29%29%29 has a vertical asymptote at x=2