SOLUTION: ln(x-3)<0 if and only if (a) x<4 (b) x>3 (c) x>4 (d) 1<x<4 (e) 3<x<4

Algebra ->  Trigonometry-basics -> SOLUTION: ln(x-3)<0 if and only if (a) x<4 (b) x>3 (c) x>4 (d) 1<x<4 (e) 3<x<4      Log On


   



Question 755374: ln(x-3)<0 if and only if
(a) x<4
(b) x>3
(c) x>4
(d) 1 (e) 3

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
f%284%29=ln%284-3%29=ln%281%29=0
f%28x%29=ln%28x-3%29 increases as x increases thoughout the (3,infinity) domain of the function.
x%3C4 <--> f%28x%29%3C0
x=4 <--> f%28x%29=0
x%3E4 <--> f%28x%29%3E0
So f%28x%29=ln%28x-3%29%3C0 means highlight%28x%3C4%29