document.write( "Question 678858: What is log(base)3(x+1)-log(base)3(X+5)=2 \n" ); document.write( "

Algebra.Com's Answer #421704 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
log(base)3(x+1)-log(base)3(X+5)=2
\n" ); document.write( "You can write this as a single log, neg means divide
\n" ); document.write( " $\"log3%28%28x%2B1%29%2F%28x%2B5%29%29\"$ = 2
\n" ); document.write( ":
\n" ); document.write( "Write it as the exponent equiv of logs
\n" ); document.write( " $\"%28x%2B1%29%2F%28x%2B5%29\"$ = $\"3%5E2\"$
\n" ); document.write( " $\"%28x%2B1%29%2F%28x%2B5%29\"$ = 9
\n" ); document.write( "Mult both sides by (x+5)
\n" ); document.write( "x + 1 = 9(x+5)
\n" ); document.write( "x + 1 = 9x + 45
\n" ); document.write( "1 - 45 = 9x - x
\n" ); document.write( "-44 = 8x
\n" ); document.write( "x = -44/8
\n" ); document.write( "x = -5.5, you can't have a neg value in a log, so I don't think this is a valid problem \n" ); document.write( "

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