Question

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

Answer 1

The answer is A.

Explanation:

edge2020

Answer 2

`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