[tex]4 + 5 *e^{x+2} = 11[/tex]
[tex]5 *e^{x+2} = 11 - 4[/tex]
[tex]5 *e^{x+2} = 7[/tex]
[tex]e^{x+2} = 7/5[/tex]
taking ln for the both sides
∴ [tex]ln e^{x+2} = ln(7/5)[/tex]
∴ (x+2) ln e = ln (7/5) ⇒ ln e = 1
∴ x + 2 = ln (7/5)
∴ x = ln (7/5) - 2
Using calculator
∴ x ≈ -1.66
