SOLUTION: Help me please. Solve log (x + 11) – log x = 3. thank you

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Question 73838: Help me please.
Solve log (x + 11) – log x = 3.
thank you
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
Log%28x%2B11%29+-+Log%28x%29+=+3 Apply the quotient rule for lagarithms: Log%28M%29-Log%28N%29+=+Log%28M%2FN%29
Log%28%28x%2B11%29%2Fx%29+=+3 Rewrite this in exponential form.
10%5E3+=+%28x%2B11%29%2Fx Simplify and solve for x.
1000+=+%28x%2B11%29%2Fx Multiply both sides by x.
1000x+=+x%2B11 Subtract x from both sides.
999x+=+11 Divide both sides by 999.
x+=+11%2F999 = 0.011011...This is a repeating decimal.