determine the range of ln equations

**cerium** · January 24th 2011, 11:01 AM

I need to determine the ranges of values of x and y for which the expressions on each side are defined please can I have help to start this off having a very bad day

3ln(y+4)=2ln(x+2)-2ln(x+9)+3ln(x2-1)

**e^(i*pi)** · January 24th 2011, 11:08 AM

It's defined when the argument is greater than 0.

$y +4 > 0$

$x+2 > 0$
$x+9 > 0$
$x^2-1 > 0$

Incidentally does anyone know how to get those in a table, like in matrices?

**FernandoRevilla** · January 24th 2011, 11:09 AM

Use the following:

$\exists\;{\log u} \Leftrightarrow u>0$

Fernando Revilla

Edited: Sorry, I didn't see e^(i*pi)'s post

**FernandoRevilla** · January 24th 2011, 11:23 AM

Originally Posted by e^(i*pi)

Incidentally does anyone know how to get those in a table, like in matrices?

Do you mean something lihe this?

$\begin{tabular}{| c | c | c | c | } \hline {$y+4>0$} & {$x+2>0$} & {$x+9>0$} & {$x^2-1>0$} \\ \hline {$y>-4 $}&{$\ldots$}&{$\ldots $}&{$\ldots $} \\ \hline \end{tabular} $

Fernando Revilla

**e^(i*pi)** · January 24th 2011, 12:46 PM

Originally Posted by FernandoRevilla

Do you mean something lihe this?

$\begin{tabular}{| c | c | c | c | } \hline {$y+4>0$} & {$x+2>0$} & {$x+9>0$} & {$x^2-1>0$} \\ \hline {$y>-4 $}&{$\ldots$}&{$\ldots $}&{$\ldots $} \\ \hline \end{tabular} $

Fernando Revilla

I mean where they're under each other in a line. It doesn't really matter that much, I think I made my point but thanks anyway

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