SOLUTION: Find the domain f(x)= 1/log(base2)x I know how to normally find a log (set the "x" to greater than 0), but I'm not sure how to find it with the one in the numerator. I'm not allo

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the domain f(x)= 1/log(base2)x I know how to normally find a log (set the "x" to greater than 0), but I'm not sure how to find it with the one in the numerator. I'm not allo      Log On


   



Question 609340: Find the domain
f(x)= 1/log(base2)x
I know how to normally find a log (set the "x" to greater than 0), but I'm not sure how to find it with the one in the numerator. I'm not allowed to use a calculator on this sheet... I have to show my work. I'm at a lost of what to do, and if there is anything different to do.
Thank you!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain
f(x)= 1/log(base2)x
**
When x=0, the log(x) of any base=1
f(0)=1/1=1
x>0
When x=1, the log(x) of any base=0
f(1)=1/0=undefined (x=1 is an equation of an asymptote)
Domain: (0,1) U (1,∞)