<PRE><B>Question 541683</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;The easiest way to solve this equation is by using the properties of exponents and logs, and using the natural log.&lt;br&gt;

{{{(18^10)=(4^5)(3^x)}}}&lt;br&gt;

{{{(18^10)/(4^5)=(3^x)}}}&lt;br&gt;

{{{ln((18^10)/(4^5))=ln(3^x)}}}&lt;br&gt;

{{{ln((18^10)/(4^5))=xln(3)}}}&lt;br&gt;

{{{ln((18^10)/(4^5))/ln3=x}}}&lt;br&gt;

Which would be the exact solution.&lt;br&gt;

But if we wanted an approximation, we can use a calculator:&lt;br&gt;

And it appears to be exactly 20.  :)&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>