Question

Help Pleasssee!! Fan & medal! Multiple choice
What is the exact value of the exponential equation 22.1 + e5x = 100.1?

Answer 1

The e is e^5x

Answer 2

isolate e^5x first

Answer 3

e^5x=22.1-100.1

Answer 4

\[e^{5x} = 78\]

Answer 5

Ok, so do I ln it now??

Answer 6

yes take the ln of both sides and show me your work

Answer 7

ln e^5x=78 ln
Then I know it needs to be a fraction at one point but Im not exactly sure how to extract the 5 from that power

Answer 8

Im pretty sure the answer is lm78/ln5but I just dont know how to get there

Answer 9

ln*** sorry

Answer 10

\[\ln(e^{5x}) = 5x | this~is~a~general~rule | \ln(e^{x}) = x \]

Answer 11

OHHH! Haha! I see :)

Answer 12

now solve for x

Answer 13

Hmmm, Do i make it into the fraction now? or divide

Answer 14

@Photon336

Answer 15

\[5x = \ln(78)\]

Answer 16

you had to take the ln of both sides

Answer 17

hmm ok

Answer 18

now what do you do?

Answer 19

Get the 5 on the same side??

Answer 20

show me

Answer 21

you make the 5 ln and then make it into a fraction (5 being on the bottom)

Answer 22

hey can you use the equation bar?

\[5x = \ln(78)\]

\[x = ?\]