SOLUTION: What is the domain of f(x)= log base 2 (x-1)?

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Question 817070: What is the domain of f(x)= log base 2 (x-1)?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The function would be shifted horizontally from standard only. You could give the equation as 2%5Ey=x-1; although you can raise 2 to positive OR negative values of y, x-1 must always remain greater than or equal to zero;

x-1%3E=0
x%3E=1
DOMAIN IS highlight%28x%3E=1%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x-1+ cannot be negative. There is no log
which can result in a negative number.
There is an asymptote at +x+=+1+ at which point
+y+ goes to minus infinity.
For +x+=+2+, +f%28x%29+=+0+
--------------------------------------
So the domain of +f%28x%29+ is +x+%3E+1+
Here's the plot:
+graph%28+400%2C+400%2C+-2%2C+10%2C+-6%2C+6%2C+log%28+2%2C+%28x-1%29%29%29+