Question

How do you solve `ln(2x+3)-4=15`?

Answer 1

`x = (e^19 - 3)/2`

Explanation:

`ln(2x+3) - 4 = 15`
`ln(2x+3) = 19`

Take the exponential of both sides, then solve using algebra

`2x + 3 = e^19`
`2x = e^19 - 3`
`x = (e^19 - 3)/2`

Double checking this value gives the right answer, and when x is that value we aren't taking the logarithm of a negative or a null number so all's okay.