document.write( "Question 469361: 8. Solve the following equation. Please show all of your work.\r
\n" ); document.write( "\n" ); document.write( "e^(x+8)=6 \r
\n" ); document.write( "\n" ); document.write( "please help me! \n" ); document.write( "

Algebra.Com's Answer #322015 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"e%5E%28x%2B8%29+=+6\"$ Take the natural logarithm of both sides.
\n" ); document.write( " $\"ln%28e%5E%28%28x%2B8%29%29%29+=+ln%286%29\"$ Apply the \"power rule\" for logarithms to the left side.
\n" ); document.write( " $\"%28x%2B8%29ln%28e%29+=+ln%286%29\"$ On the left side, substitute $\"ln%28e%29+=+1\"$
\n" ); document.write( " $\"%28x%2B8%29+=+ln%286%29\"$ Subtract 8 from both sides.
\n" ); document.write( " $\"x+=+ln%286%29-8\"$ Evaluate.
\n" ); document.write( " $\"highlight%28x+=+-6.20824%29\"$ Approximately. \n" ); document.write( "

\n" );