Question 1064210

Solve the equation ln (x+5) + ln (x+3) = ln 3 algebraiclly 
<pre>ln (x + 5) + ln (x + 3) = ln 3
ln [(x + 5)(x + 3)] = ln 3
{{{ln (x^2 + 8x + 15) = ln (3)}}}
{{{x^2 + 8x + 15 = 3}}}
{{{x^2 + 8x + 12 = 0}}}
(x + 2)(x + 6) = 0
x + 2 = 0         OR        x = - 6 (ignore)
As x = - 6 is an <b><u>EXTRANEOUS solution</b></u>, the ONLY solution is: {{{highlight_green(matrix(1,3, x, "=", - 2))}}}