Hey...don't underestimate the power of MS Paint!
Most of the best logos all have 1 thing in common: simplicity
You don't need fancy expensive tools to make simplicity.
Just take a look at the top 250 corporate logos and you will see:http://www.goodlogo.com/top250/
A lot of these logos have been around longer than there have been computers.
and this little logo is quite simple and you'd recognize it even without the text: