SOLUTION: good evening to all. Has somebody demo step by step why for ((0.12)^x)/((0.12)^(5-x))>0 all values of x are solutions? Many thanks in advance!!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: good evening to all. Has somebody demo step by step why for ((0.12)^x)/((0.12)^(5-x))>0 all values of x are solutions? Many thanks in advance!!      Log On


   

Question 1012884: good evening to all. Has somebody demo step by step why for
((0.12)^x)/((0.12)^(5-x))>0 all values of x are solutions?
Many thanks in advance!!
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, sure...for
%28%280.12%29%5Ex%29%2F%28%280.12%29%5E%285-x%29%29%3E0
we subtract exponents and get
%280.12%29%5E%282x%2B5%29+%3E+0
Now if we examine this, notice that we have a positive quantity to some power...now, it does not matter what power you raise 0.12 to, it will always yield a positive result...that is why the original expression is always greater than zero, no matter what x you choose...