Math Help - inequality and logarithm

1. inequality and logarithm

i have an inequality
ea => eb
can i take take the log of this inequality?

and is the following inequality correct for every "a" and "b"?

log (ea) => log (eb) then a => b

thanks a lot.

2. Re: inequality and logarithm

Yes, both logarithm and exponential are increasing functions so if $e^a\ge e^b$ then $a\ge b$.
(It would be better to use ">=" for "greater than or equal to". "=>" looks too much like "implies".)