<PRE><B>Question 249559</B>
logarithm/249559 (2009-12-14 01:09:35): How would I solve ln 8x=7?&lt;br&gt;

We can use the property of logarithms to solve this problem.&lt;br&gt;

ln(8x)=7 is in logarithmic form&lt;br&gt;

We need to transform it into exponential form like this&lt;br&gt;

Change {{{ln(x)=y}}} into {{{b^y=x}}}&lt;br&gt;

So we can do this knowing that the base of the natural log ln is e:&lt;br&gt;

{{{e^7=8*x}}}&lt;br&gt; 

{{{e^7/8=x}}} which would be the exact answer, but to see an approximation&lt;br&gt;

{{{1096.633158/8=x}}}&lt;br&gt;

{{{x=137.0791448}}} final answer approximation&lt;br&gt;</PRE>