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
