<PRE><B>Question 534433</B>
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The log function log (x) is defined for only x&gt;0.&lt;P&gt;

For this one it&#39;s like an equation that must be &gt; 0.&lt;P&gt;

(3x+1)(x-2)&gt;0  by the zero product rule both must be &gt; 0.&lt;P&gt;

3x+1 &gt;0 subtract 1 from both sides  3x &gt;-1  divide both sides by 3.  x &gt; -1/3&lt;P&gt;

x-2 &gt; 0 add 2 to both sides.  x &gt; 2&lt;P&gt;

The domain is (2, infinity) since any x = 2 or x&lt;2  will make (x-2) &lt;= 0 and thus will make the function undefined.



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