SOLUTION: Hi, i have to find the domain here : g(x) = log7(2/3x -1) thanks for your help

Algebra ->  Functions -> SOLUTION: Hi, i have to find the domain here : g(x) = log7(2/3x -1) thanks for your help      Log On


   

Question 1065101: Hi, i have to find the domain here : g(x) = log7(2/3x -1)
thanks for your help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll say +y+=+g%28x%29+
+y+=+log%28+7%2C+%28+%282%2F3%29x+-+1+%29+%29+
----------------------------
Raising the base +7+ to any log, either + or -
cannot result in a negative number for the result,
+%282%2F3%29x+-+1+, so I conclude that
+%282%2F3%29x+-+1+%3E=+0+
+%282%2F3%29x+%3E=+1+
+x+%3E=+3%2F2+
This is the domain
Here's the plot:
+graph%28+500%2C+500%2C+-5%2C+5%2C+-3%2C+3%2C+log%28+7%2C+%282%2F3%29%2Ax++-+1+%29+%29+