Question
solve the equation.
Inx+In(x+8)=3
Inx+In(x+8)=3
Answers
Reiny
ln (x(x+8)) = 3
x^2 + 8x = e^3
x^2 + 8x + 16 = e^3 + 16
(x+4)^2 = e^3 + 16
x+4 = ± √(e^3 + 16)
<b>x = -4 + √(e^3 + 16)</b> , we rejected the negative or else log x would be undefined
x^2 + 8x = e^3
x^2 + 8x + 16 = e^3 + 16
(x+4)^2 = e^3 + 16
x+4 = ± √(e^3 + 16)
<b>x = -4 + √(e^3 + 16)</b> , we rejected the negative or else log x would be undefined