Question

5e^{2x + 11} = 30
I know x = -4.604 I just need the steps

Answer 1

\[5e^{2x + 11} = 30\]
Divide each side both five.
\[e^{2x + 11} = 6\]

Can you continue from there or do you need more assistance?

Answer 2

ln(e^{2x + 11}) = ln(6)
Right?

Answer 3

Yes :-).

ln cancels out e so:
2x + 11 = ln(6)
2x + 11 = 1.79175946923
Are you able to solve for x?

Answer 4

2x = 1.79175946923 - 11
2x = -9.20824053077

Answer 5

Divide both sides by 2:
x = -4.604 right?

Answer 6

Correct :-).

Answer 7

thanks

Answer 8

No problem :-).