Question

How do you solve `-14+3e^x=11`?

Answer 1

`x=ln(25/3)≈2.12`

Explanation:

To solve, we require to isolate the exponential function.

`rArr3e^x=25rArre^x=25/3`

Take the ln ( natural log ) of both sides.

`rArrlne^x=ln(25/3)`

`color(orange)"Reminder "color(red)(bar(ul(|color(white)(2/2)color(black)(logx^n=nlogx;log_b b=1)color(white)(2/2)|)))`

`rArrxcancel(lne)^1=ln(25/3)`

`rArrx=ln(25/3)≈2.12" to 2 decimal places"`