Question

What is the solution to 4+5e^x+2=11

Answer 1

$4 + 5 *e^{x+2} = 11$
$5 *e^{x+2} = 11 - 4$
$5 *e^{x+2} = 7$
$e^{x+2} = 7/5$

taking ln for the both sides
∴ $ln e^{x+2} = ln(7/5)$
∴ (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