document.write( "Question 73838: Help me please.
\n" ); document.write( "Solve log (x + 11) – log x = 3.\r
\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #52806 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( " $\"Log%28x%2B11%29+-+Log%28x%29+=+3\"$ Apply the quotient rule for lagarithms: $\"Log%28M%29-Log%28N%29+=+Log%28M%2FN%29\"$
\n" ); document.write( " $\"Log%28%28x%2B11%29%2Fx%29+=+3\"$ Rewrite this in exponential form.
\n" ); document.write( " $\"10%5E3+=+%28x%2B11%29%2Fx\"$ Simplify and solve for x.
\n" ); document.write( " $\"1000+=+%28x%2B11%29%2Fx\"$ Multiply both sides by x.
\n" ); document.write( " $\"1000x+=+x%2B11\"$ Subtract x from both sides.
\n" ); document.write( " $\"999x+=+11\"$ Divide both sides by 999.
\n" ); document.write( " $\"x+=+11%2F999\"$ = 0.011011...This is a repeating decimal. \n" ); document.write( "

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