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

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) (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,∞)
RELATED QUESTIONS
I know that the answer is (- Infinit, 2), but I cannot figure out how to solve it. Any... (answered by NAMath)

Suppose that f(x)=log3(x-1). a) State the domain and range of f. b) Find a formula for... (answered by solver91311)

How do I find d, giving my answer as an integer? The first three terms of the arithmetic (answered by KMST)

Find the largest value of x that satisfies: log(base2)(x^2)-log(base2)(x+4)=2 I... (answered by josgarithmetic,Romolo)

Find the domain of the function y=x^2 - sqrt (2x+1) I know I have to set the binomial... (answered by Fombitz)

The question is: log(base x)2 + log(base2)x= -2 What I did: log(base x)2 +... (answered by lwsshak3)

find x to the nearest tenth: x = Log(base2)... (answered by longjonsilver)

{{{ log( 3,x ) }}} ^2 + {{{ log( 3,x^2) }}} -3 = 0 What is x? Basically, this question (answered by josgarithmetic)

Hello i was asked to graph f(x) = log base 2(x+1)-2 now i think i graphed it correctly... (answered by josgarithmetic)