How do u solve for x? 7e^3x=1000

7e^3x=1000

How do u solve for x?

I use the natural log function (ln)

first divide everything by 7

7 e^3x = 1000

e^3 = 1000/7 =

take everything as an expression of ln

ln (e ^3x) = ln (1000/7) = ln 1000 - ln 7 Ln and e^ are inverse operations and cancel each other out

3x = ln 1000 - ln 7

x = (ln 1000 - ln 7) / 3 = 1.6539

7e^3x=1000

e^3x= 1000/7= 142.85


aplly ln both sides

===> 3x= ln 142.85

====> x =ln142.85/3= 1.65

x=1.65