edyth82
contestada

ASAP please!


Solve the equation ln (e · e^x) = x2 + 4x + 3 for x.

A) x = 1 or x = 2\
B) x = –2 or x = 1
C) x = -1 or x = 2
D) x = –2 or x = –1

Respuesta :

Answer:

D).

Step-by-step explanation:

ln (e · e^x) = x2 + 4x + 3

ln e^(x+1) = x^2 + 4x + 3

Taking all terms to the power e:

e^(x + 1 )=  e^ (x^2 + 4x + 3)

x + 1 =  x^2 + 4x + 3

x^2 + 3x + 2 = 0

(x + 2)(x + 1) = 0

x = -2, -1.