Question

Solve the equation. Round to the
nearest thousandth.
-12e^-x + 8 = 7

Answer 1

`- 12 {e}^( - x ) + 8 = 7 \\ - 12 {e}^(x) = - 1 \\ {e}^( - x) = ( - 1)/( - 12) \\ {e}^( - x) = (1)/(12) \\`

taking e to the other side will equal ln , bringing -x down

`- x = ln( (1)/(12)) \\ x = - ln( (1)/(12) )`

insert this in your calculator, you will get :

`x = 2.484906... \\`

rounding off to nearest thousand :

`x = 2.485`

hope this helps...