Question

Solve the equation below for x: 200=50e³ˣ

Answer 1

rewrite the question as 50e^3x = 200
you divide each term in 50e^3x = 200 and simplify it by 50
50e^3x 200
_____ = ____
50 50
simplify the left side
e3x= 200/50
simplify the right e3x=4
take the natural logarithm of both sides of the equation to remove the variable from the exponent
in e3x in 4
divide each term 3x in (4) by 3 and simply it

x= in(4)/3 so in decimal form it’s 0.46209812…

Answer 2

`x = (ln(4))/(3)` or 0.462

Explanation:

`(200)/(50) = (50)/(50)e^(3x)`

`4 = e^(3x)`

`ln(4) = ln(e^(3x) )`

`ln(4) = 3xln(e)`

ln(e) cancels out so your left with
ln(4) = 3x

`x = (ln(4))/(3)`

x=0.46209812