Solve the equation below for x 200=50e^3x

Rewrite the equation as
50e^3x=200

Divide each term by 50 and simply
e^3x=4

Take the natural logarithm of both sides
In (e^3x)= In (4)

Use the logarithm rules to move 3x out of the exponent
3x In (e) = In (4)

The natural logarithm of e is 1
3x*1= In (4)

Multiply 3 by 1
3x= In (4)

Divide each term by 3 and simplify
x= (In(4))/(3)

Exact form: x=(In (4))/(3)
Decimal form: x=0.46209812

Hope it helps if you still need help let me know