SOLUTION: Hi, I'm having trouble understanding this question: If the domain of the function is D = {1,2,4}, find the range. f(x) = log4x (the 4 is the base) -Thank you.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I'm having trouble understanding this question: If the domain of the function is D = {1,2,4}, find the range. f(x) = log4x (the 4 is the base) -Thank you.      Log On


   

Question 1018400: Hi, I'm having trouble understanding this question:
If the domain of the function is D = {1,2,4}, find the range.
f(x) = log4x (the 4 is the base)
-Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think they are trying to say that the domain
is is the x-value of only 3 points:
( 1,0 )
( 2,1/2)
( 4, 1 )
--------
The domain is:
D{ 1, 2, 4 }
Since the domain is only 3 values, the the range
can only be 3 values:
R{ 0, 1/2, 1 }
-------------------
Here's the calculations:
-------------------
+f%28x%29+=+log%28+4%2Cx+%29+
+f%281%29+=+log%28+4%2C1+%29+
+f%281%29+=+0+
-----------------
+f%282%29+=+log%28+4%2C2+%29+
+f%282%29+=+1%2F2+
-----------------
+f%284%29+=+log%28+4%2C4+%29+
+f%284%29+=+1+
-----------------