SOLUTION: Solve the equation ln (x+5) + ln (x+3) = ln 3 algebraiclly

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Question 1064210: Solve the equation ln (x+5) + ln (x+3) = ln 3 algebraiclly
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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Solve the equation ln (x+5) + ln (x+3) = ln 3 algebraiclly 
ln (x + 5) + ln (x + 3) = ln 3

ln [(x + 5)(x + 3)] = ln 3

ln+%28x%5E2+%2B+8x+%2B+15%29+=+ln+%283%29

x%5E2+%2B+8x+%2B+15+=+3

x%5E2+%2B+8x+%2B+12+=+0

(x + 2)(x + 6) = 0

x + 2 = 0         OR        x = - 6 (ignore)

As x = - 6 is an EXTRANEOUS solution, the ONLY solution is: highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+-+2%29%29