SOLUTION: Solve for x: ln(7-x)+ln(3x+5)=ln(24x)

Question 5352: Solve for x:
ln(7-x)+ln(3x+5)=ln(24x)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Combine logarithms on the left side using the law of logarithms:

ln(7-x)+ln(3x+5)=ln(24x)
ln (7-x)(3x+5) = ln(24x)

Raise both sides as a power of e to "undo" the lns:
(7-x)(3x + 5) = 24x

Multiply both sides by -1, and write in descending powers of x:
, which just happens to factor!! (Imagine that!!)

You are not allowed to have a log of a negative in the real numbers, so you must reject the -5. The final answer is .

R^2 at SCC

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