SOLUTION: I need to sketch the graph of the function and Identify the vertical asymptote. f(x)=-2 log base3^x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need to sketch the graph of the function and Identify the vertical asymptote. f(x)=-2 log base3^x      Log On


   

Question 53406: I need to sketch the graph of the function and Identify the vertical asymptote.
f(x)=-2 log base3^x
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Let me know if I misinterpretted what you meant:
-2log3%28x%29=log3%28x%5E-2%29
Because the x is raised to an even power, the only thing that x can't be is 0.
That means there's a vertical asymptote at 0.
If your allowed to use a graphing calculator, use the change of base formula and graph (ln(x^(-2))/(ln(3))
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28ln%28x%5E%28-2%29%29%29%2F%28ln%283%29%29%29
Let me know if you need to do this by hand let x = 0,3,9,27 those are powers of three that will give you easy answers.
Happy calculating!!!