Question

Solve the equation below for x:

Answer 1

4000=1000e^2x

Answer 2

\[4000=1000e^{2x}\]\[4=e^{2x}\]\[ln(4)=ln(e^{2x})\]\[ln(4)=2x\]\[x=\frac{ln(4)}{2}\]\[x \approx 0.69314\]

Answer 3

can you explain how you did it?

Answer 4

Exactly like the steps I just showed you:

Divide both sides by 1000.
Take natural logarithm of both sides.
Divide both sides by 2.

Answer 5

oh okay thank you.