Question

How do you solve `19^ { x } = 143`?

Answer 1

`x≈1.685" to 3 decimal places"`

Explanation:

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

Take the ln (natural log ) of both sides.

`ln19^x=ln143`

`rArrxln19=ln143`

`rArrx=(ln143)/(ln19)≈1.685`