Question

How can I solve e^(2x)=1/e^(x+6)?

Answer 1

Can I make the right side of the equation into e^(-x+6) to get rid of the fraction?

Answer 2

Do you remember your ln and log rules?

Answer 3

example to eliminate e you need to take the ln of both sides

Answer 4

Answer to your question you can

Answer 5

start by rewriting the right hand side in index form

\[e^{2x} = e^{-(x + 6)}\]

now you have the same base, you can equate the powers and solve for x

hope this helps

Answer 6

So would I have 2x=x+6 or 2x=-x-6?