document.write( "Question 676957: Solve: ln x +ln (x+5)=ln(x^3 + 15x)-ln x
\n" ); document.write( "Not sure how to do this problem! please show steps! \n" ); document.write( "

Algebra.Com's Answer #420631 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
ln(x) + ln(x+5)=ln(x^3 + 15x)-ln(x)
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\n" ); document.write( "Adding logs is multiply and subtraction is divide, so we can write this
\n" ); document.write( "ln(x(x+5)) = ln((x^3+15x)/x)
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\n" ); document.write( "cancel out x on the right:
\n" ); document.write( "ln(x^2+5x) = ln(x^2 + 15)
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\n" ); document.write( "get rid of the ln's it's the same as:
\n" ); document.write( "x^2 + 5x = x^2 + 15
\n" ); document.write( "x^2 - x^2 + 5x = 15
\n" ); document.write( "x = 15/5
\n" ); document.write( "x = 3
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\n" ); document.write( "You can check this on your calc, replace x with 3 in the original problem\r
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