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Mathematics 15 Online
OpenStudy (anonymous):

Solve: 9ln(x-2)+3=8

OpenStudy (bahrom7893):

Now this is the other way around. remember how last time we had e^(2x)

OpenStudy (anonymous):

yes

OpenStudy (bahrom7893):

Okay last time we had to take ln to get the x down, now we will have to raise everything to the e to get it out of ln

OpenStudy (bahrom7893):

Okay so: first simplify this a bit. Subtract 3 from both sides and type what u get.

OpenStudy (bahrom7893):

are u still here?

OpenStudy (anonymous):

9ln(x-2)=5

OpenStudy (bahrom7893):

Okay, now divide both sides by 9, see the point here is to get the Ln(____) part on it's own

OpenStudy (bahrom7893):

MTH_Dumbo?

OpenStudy (anonymous):

x-2=.5555

OpenStudy (bahrom7893):

I think u meant: ln(x-2)=0.5555

OpenStudy (anonymous):

yeah

OpenStudy (bahrom7893):

so now: e^[ln(x-2)]=e^(0.5555) and e^LnA = A, therefore: x-2 = e^(0.55555)

OpenStudy (bahrom7893):

add two to both sides, evaluate and u are done.

OpenStudy (anonymous):

so would I have ln(x)=2.5555

OpenStudy (bahrom7893):

No u don't need Ln we alread got rid of it when we raised e^Ln(x-2)

OpenStudy (anonymous):

so how would I enter x=2.5555 to get my final answer?

OpenStudy (anonymous):

Hello?

OpenStudy (bahrom7893):

oh sorry i didn't notice ur response..

OpenStudy (bahrom7893):

x-2 = e^(0.55555) x = e^(0.5555)+2

OpenStudy (bahrom7893):

that's ur answer

OpenStudy (anonymous):

When I enter ln(.5555)+2 on my calculator, I'm getting 1.4121 which is not the answer my book has.

OpenStudy (anonymous):

Wait!!! Nevermind! I see what I did wrong. I got it now.

OpenStudy (bahrom7893):

i told u e^(0.5555) no wonder haha anyway good for u!

OpenStudy (anonymous):

I know, I know. I forgot to hit shift on my calculator to get e^. Lol

OpenStudy (anonymous):

Hey...Thanks for all your help. You're awesome!

OpenStudy (bahrom7893):

np =)

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