Question

Use natural logarithms to solve the equation. Round to the nearest thousandth.

Answer 1

\[3e ^{2x}+2=28\]

Answer 2

@satellite73 @nikato @agent0smith @timo86m can any of you please help me??

Answer 3

@Mertsj

Answer 4

1. Subtract 2 from both sides
2. Divide both sides by 3
3. Take the natural log of both sides.

Answer 5

i know how to do the first two steps but its the last one where i get confused!

Answer 6

Use the property that:
\[\ln e ^{2x}=2x \ln e\]

Answer 7

Remember that the ln e = 1

Answer 8

Divide both sides by 2

Answer 9

And this is why I called you @Mertsj ... you helped me so much with logs the other day :-)

Answer 10

@emma97 Do you have it now?

Answer 11

what i have so far is: e^2x=8.667

Answer 12

\[\ln e ^{2x}=\ln 26\]
\[2x \ln e=3.25097\]

Answer 13

\[2x=3.25097\]

Answer 14

i got 1.625485 but thats not any of my answer choices!

Answer 15

Did you round to the nearest thousandth as the directions say?

Answer 16

are you asking if i rounded the last response i just put?

Answer 17

or the one before?

Answer 18

2x=3.258096538021482
x=1.629048269010741=1.629

Answer 19

After you solve the problem you must round your answer to the nearest thousandth.

Answer 20

here ill show you my choices! because there isn't any choices that look like that lol

Answer 21

Oh no.; Hold the phone. I forgot to divide by 3

Answer 22

yeah lol i was trying to figure out what happened hahah

Answer 23

\[3e ^{2x}+2=28\]
\[3e ^{2x}=26\]
\[e ^{2x}=\frac{26}{3}=8.6666666666....\]
\[\ln e ^{2x}=\ln 8.6666666666666...\]
\[2x=2.15948424934568\]
\[x=1.07974212467284=1.080\]

Answer 24

so then its option a?

Answer 25

Perhaps you posted the directions incorrectly because the answer choices are given to the nearest ten thousandth...and not the nearest thousandth.

Answer 26

maybe i did! I'm not sure but those are my answer choices lol!

Answer 27

So anyway, it's the first one.

Answer 28

thank you so so so much! your amazing!

Answer 29

yw