What about this one?

Exactly.
>log
Could you please explain what you mean by this? What is this "log". Please express it as a rational function. I mean, you wouldn't be so stupid as to think that transcendental functions exist right?

[eqn] \log(x) = \int_1^x \frac{1}{t} dt [/eqn]

exp and ln are perfectly defined as either the limit of a power series or as the solution of a differential equation which is equivalent to saying

I said rational function. Anyone can draw a bunch of weird lines and claim they have a function.

You start adding them and see what direction it goes in.

>∞

How do I make them symbols?

Read the sticky.

[Catalog] >> Veeky Forumsguide
>> sites.google.com/site/scienceandmathguide/
>> Veeky Forums LaTeX Tutorial

for testing, try at
latex.codecogs.com/eqneditor/editor.php
sciweavers.org/free-online-latex-equation-editor

right-click on pretty formulas
to see the code that produced it

protip: put a space before each backslash

Whaddabout a verb in your sentence, illiterfag?