Question

Solve for x:
1000 = 500e^2x
a. x=ln(2) / 2
b. x=ln(1000) / 2*ln(500)
c. x=1/e
d. x=ln(2)-2

Answer 1

First thing to do is get rid of the \(500\). Then you can use the natural logarithm to get rid of the \(e\).

Answer 2

Can you help me?

Answer 3

1000 = e^2x
what do I do now?

Answer 4

1000 = 500e^2x divide both sides by 500
2= e^2x take the log of both sides
ln(2)=2x (*Note ln and e cancel out leaving you with 2x) . Divide both sides by 2

x= (ln2)/2

Answer 5

oh I understand. Thank you