<PRE><B>Question 1206182</B>
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&lt;pre&gt;

I read it this way

    {{{log(8,(x+2))}}} - {{{log(8,(x))}}} = {{{log(8,(30))}}}.


If so, then, using the standard logarithm properties

    {{{(x+2)/x}}} = 30,

    x+2 = 30x

    2 = 30x - x

    2 = 29x

    x = {{{2/29}}}.    &lt;U&gt;ANSWER&lt;/U&gt;
&lt;/pre&gt;

Solved.


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On logarithms and their properties, &amp;nbsp;see these introductory lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/logarithm/what-is-the-logarithm.lesson&gt;WHAT IS the logarithm&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/logarithm/Properties-of-the-logarithm.lesson&gt;Properties of the logarithm&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/logarithm/change-of-base-formula-for-logarithms.lesson&gt;Change of Base Formula for logarithms&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/logarithm/Evaluate-logarithms-without-using-a-calculator.lesson&gt;Evaluate logarithms without using a calculator&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/logarithm/Simplifying-expressions-with-logarithms.lesson&gt;Simplifying expressions with logarithms&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/logarithm/How-to-solve-logarithmic-equations.lesson&gt;Solving logarithmic equations&lt;/A&gt; 

in this site.



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