Question 563456: I need help solving for x in this logrithm:
Log(11x + 9) = 3 + log(x + 3)
First I moved both logs to the same side:
Log(11x + 9) - log(x + 3) = 3
Then I divided the logs in order to condense the equation:
Log (11x + 9)/(x + 3) = 3
Next I switched the equation from log form to expodential form:
10^3 = (11x + 9)/(x + 3)
Then I distributed the exponent to the 10 and multiplied (x + 3) to both sides:
1,000(x + 3) =(11x +9)
1,000x + 3,000 = 11x + 9
Then I put the x's on the same side & all whole numbers:
989x = -2991
Then I divided to find x:
X = -2991/989; x = -3.024266936.
Now I realize I did something wrong to come up with this answer so could you please help me?
Answer by richard1234(7193)   (Show Source):
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