Question 1204575
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If log(3,x) = 8, evaluate the following.
log(3,9x)

I was given the answer 10 but I don't know the reasoning.
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            The most simple reasoning is  THIS :



<pre>
    {{{log(3,(9x))}}} = {{{log(3,(9))}}} + {{{log(3,(x))}}} = 2 + 8 = 10.    <U>ANSWER</U>


On the way, I used two facts:  

        {{{log(3,(9))}}} = {{{log(3,(3^2))}}} = {{{2*log(3,(3))}}} = 2*1 = 2,

    and

        {{{log(3,(x))}}} = 8  (given).
</pre>

Solved.


This solution shown in my post is what the problem and the teacher do expect from you.


Comparing with the solution by @mananth, the advantage of this solution is 
that I do not make no one excessive calculation and use the most straightforward economic way.


In whole, this my composition is "the most elegant and the most expected/desired way to solve".