solve the equation.

Question

Inx+In(x+8)=3

Answer 1

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)
x = -4 + √(e^3 + 16) , we rejected the negative or else log x would be undefined