Question

How do you solve `e^(5x + 1) = 40`?

Answer 1

`x ~= 0.53778`

Explanation:

Given
`color(white)("XXX")e^(5x+1) = 40`

Therefore
`color(white)("XXX")5x+1 = ln(40)`

Using a calculator: `ln(40) ~= 3.6889`

`color(white)("XXX")5x+1 ~= 3.6889`

`color(white)("XXX")x ~= 0.53778`