<PRE><B>Question 20541</B>
&lt;pre&gt;&lt;font face = &quot;Georgia&quot; size = 3&gt;&lt;b&gt;
log&lt;sub&gt;9&lt;/sub&gt;(3u+14) - log&lt;sub&gt;9&lt;/sub&gt;5 = log&lt;sub&gt;9&lt;/sub&gt;(2u)
Add log&lt;sub&gt;9&lt;/sub&gt;5 to both sides
log&lt;sub&gt;9&lt;/sub&gt;(3u+14) = log&lt;sub&gt;9&lt;/sub&gt;(2u) + log&lt;sub&gt;9&lt;/sub&gt;5 
On the right use the rule of logarithms:
log&lt;sub&gt;B&lt;/sub&gt;X + log&lt;sub&gt;B&lt;/sub&gt;Y = log&lt;sub&gt;B&lt;/sub&gt;(XY)
log&lt;sub&gt;B&lt;/sub&gt;(3u+14) = log&lt;sub&gt;B&lt;/sub&gt;[(2u)×5]
log&lt;sub&gt;B&lt;/sub&gt;(3u+14) = log&lt;sub&gt;B&lt;/sub&gt;(10u)
Now we raise both sides to the 9 power, which amounts to
dropping the log&lt;sub&gt;9&lt;/sub&gt; on each side:
3u+14 = 10u
Solve that for u and get u=2.
Edwin
AnlytcPhil@aol.com



 






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