What is the exact value of the exponential equation

17 + e^(7x) = 33     subtract 17 from both sides

e^(7x)  =  16           take the Ln of both sides

Ln e^(7x)  = Ln 16      and we can write

(7x) Ln e  = Ln 16         Ln e = 1.....so we  can ignore this

7x =  Ln 16         divide both sides by 7

x =  [ Ln 16 ]  / 7