document.write( "Question 814378: Hello. I am on my last homework problem and am having a horrible hard time with this problem. Any help would be so appreciated. Thank you\r
\n" ); document.write( "\n" ); document.write( "ln(x+3)-ln(x-6)=4 \n" ); document.write( "

Algebra.Com's Answer #490288 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+ln%28x%2B3%29+-+ln%28x-6%29+=+4+\"$
\n" ); document.write( "The trick to solving this is
\n" ); document.write( "to make the substitution:
\n" ); document.write( " $\"+4+=+ln%28+e%5E4+%29+\"$
\n" ); document.write( " $\"+ln%28+x%2B3+%29+-+ln%28+x-6+%29+=+ln%28+e%5E4+%29+\"$
\n" ); document.write( " $\"+ln%28+%28+x+%2B+3+%29+%2F+%28+x-+6+%29+%29+=+ln%28+e%5E4+%29+\"$
\n" ); document.write( " $\"+%28+x+%2B+3+%29+%2F+%28+x-+6+%29+=++e%5E4+\"$
\n" ); document.write( " $\"+x+%2B+3++=+e%5E4%2Ax+-+6%2Ae%5E4+\"$
\n" ); document.write( " $\"+e%5E4%2Ax+-+x+=+6%2Ae%5E4+%2B+3+\"$
\n" ); document.write( " $\"+x%2A%28+e%5E4+-+1+%29+=+6%2Ae%5E4+%2B+3+\"$
\n" ); document.write( " $\"+x+=+%28+6%2Ae%5E4+%2B+3+%29+%2F+%28+e%5E4+-+1+%29+\"$
\n" ); document.write( "Hope I got it
\n" ); document.write( "The method should be OK
\n" ); document.write( " \n" ); document.write( "

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