Question

How do you solve `2*e^(x-6)=63`?

Answer 1

`x=9.45` (to 2 decimal places)

Explanation:

If
`color(white)("XXX")2 * e^(x-6)=63`
then
`color(white)("XXX")e^(x-6)=63/2=31.5`
and
`color(white)("XXX")x-6 = ln(31.5) ~~3.45` (using a calculator)

`rArr x~~9.45`