Answer: x = 1.1968729357 ; or, round to: 1.2 . ____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120); ______________________ Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ; ___________________________________ 4x / 4 = (ln 120) / 4 ; ___________________________ x = (ln 120) / 4 ; ______________________________ Using a calculator: _________________________________________________________ x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357 Answer: x = 1.1968729357 ; or, round to: 1.2 . ____________________________________________
