Calculators How can I simplify this logarithmic equation on a TI89 titanium?

[calypsob]

First of all I would like to share this because I randomly found it and I commonly see that people approach base changes of common logs on the ti89 titanium in a very different way.
Scroll half way down page 2 http://education.ti.com/xchange/AUS-NZ/Mathematics/Number/12250/SomehelpQAontheTI89.pdf
Also, the command "Diamond" and then 7 opens the log() function on ti89 titanium

Ok on to my question.

is there a quick way to enter this equation and simplify?

5lnx+6lny-4lnz =

The answer is ln(x^5*y^6/z^4)

 

[Dchair]

You lose some accuracy if you use complex numbers, but one easy way is to do ln(e^(5 ln x + 6 ln y - 4 ln z)). Use diamond-x for e^, or CHAR-MATH-5 also gives you the correct e.

This is just a simple algebra trick: ln(e^x)) = x, but the calculator doesn't try to simplify anymore. If you do e^ln(x), your domain is limited to positive numbers, and the calculator changes the format again.