Question

ln(e^x -2) = 3

Answer 1

ln(e^x-2) = 3

// you can re-write the equation this way.
e^x -2 = e^3

// add 2 to both sides
e^x = 2+e^3

// reintroduce the ln
ln(e^x) = ln(2+e^3)

// power of the e^x can be pulled out of the ln
x*ln(e) = ln(2+e^3)

// ln(e) = 1
x = ln(2+e^3)

Answer 2

Awesome, thanks man. I did just that but I forgot to add the ln at the end. Thanks I appreciate it Tomo

Answer 3

yw