<PRE><B>Question 280462</B>
&lt;br&gt;
You have done the harder part of the problem, using the laws of logarithms to write the given expression as a single logarithm.  The rest of the problem is simple arithmetic, plus an application of the definition of logarithms:&lt;br&gt;
{{{6/3 = 2}}}
{{{(sqrt(8))^2=8}}}
{{{2*8=16}}}&lt;br&gt;
So you have&lt;br&gt;
{{{log(2,16)}}}&lt;br&gt;
which is 4, because {{{2^4=16}}}&lt;br&gt;
ANSWER: 4&lt;br&gt;
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