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#576 2014-09-19 01:54:40

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

You mean these, 3^(n+2) 3^(n+2) 3^(n+2)


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#577 2014-09-19 02:12:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

I need a little rest, so I will see you later. Sorry but I am exhausted.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#578 2014-09-19 06:36:34

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

bobbym wrote:


I have known it now - good!

I need a little rest, so I will see you later. Sorry but I am exhausted.


I know only one thing - that is that I know nothing

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#579 2014-09-19 06:45:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

You understand that?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#580 2014-09-19 20:40:40

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

bobbym wrote:

You understand that?

yes I do - thank you Bobbym, I have cottoned on.


I know only one thing - that is that I know nothing

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#581 2014-09-19 20:51:00

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

It seems you once solved this, but upon reconsideration I did it so;

3^x + 3^(x-1) = 4
3^x + 3^x/3 = 4
3^(x+1) + 3^x = 12
xlog3 + xlog3 + log3 = log12
x(log3 + log3) = log12 - log3

answer = log12 - log3/(log3+log3)
Is the answer correct?


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#582 2014-09-20 02:57:16

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

Hi;

That is not correct.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#583 2014-09-20 10:22:41

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

Why are you saying that? I was thinking it is correct


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#584 2014-09-20 13:50:11

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

Plug in 1 to your problem.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#585 2014-09-20 21:11:50

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

It gives 5, and not 4.


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#586 2014-09-20 21:42:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

You should get 4 because that is what it gets when you plug into the problem.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#587 2014-09-20 22:37:10

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

Yes, it gives 4 - I did not put brackets around the x-1 as in 3^(x-1) when doing the plugging, but apart from your previous steps is there no other way to solve this problem?  - I am asking because your factoring seems wierd to me.

Last edited by EbenezerSon (2014-09-21 00:48:37)


I know only one thing - that is that I know nothing

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#588 2014-09-21 01:32:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

You could equate powers.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#589 2014-09-21 07:27:07

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

Bases are not the same why equating powers?
[I have long known that bases must be the same before powers are equated]


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#590 2014-09-21 09:52:32

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

3^x + 3^(x-1) = 4

The bases are both 3 but you must get an answer of 1.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#591 2014-09-22 06:05:38

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

So, should I take it from you that when bases at one side of an equation are the same one could equate the exponents regardless of the bases at the other side? As in the case this problem

Please confirm.


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#592 2014-09-22 08:50:14

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

You are correct, there is a 4 on the other so equating is out but we can do a little algebra on it anyway.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#593 2014-09-22 09:46:01

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

Thanks for the confirmation.

Little algebra? Mmm, I'm confounded though.

Last edited by EbenezerSon (2014-09-22 09:47:46)


I know only one thing - that is that I know nothing

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#594 2014-09-22 21:47:06

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

Hil

Only 3^0 = 1 so x must be 1.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#595 2014-09-23 03:42:28

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

I am thinking of why the 4 in the bracket appeared,  in step three.


I know only one thing - that is that I know nothing

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#596 2014-09-23 05:30:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

Did you understand step 2?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#597 2014-09-23 07:06:08

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

Yes I do understand step two - but step 3 confounds me.


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#598 2014-09-23 13:21:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

Which part?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#599 2014-09-23 19:52:11

EbenezerSon
Member
Registered: 2013-07-04
Posts: 554

Re: Simplify the following:

In step 3, how did you get the 4 in the bracket?


I know only one thing - that is that I know nothing

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#600 2014-09-23 21:08:25

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Simplify the following:

3 + 1 = 4


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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