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#126 2013-07-23 23:31:39

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

I think 5 is raising to the power nothing therefore should be equal to  zero and not one.


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#127 2013-07-23 23:31:49

bobbym
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From: Bumpkinland
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Re: Simplify the following:

Supposing you had

2^4 * 2^0

when we multiply the same bases we are allowed to add the exponents.  4 + 0 = 4 so 2^4 * 2^0 = 2^4 so 2^0 must equal 1.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
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#128 2013-07-23 23:44:23

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

But is it possible to add the exponents of the following? 

Last edited by EbenezerSon (2013-07-23 23:45:13)


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#129 2013-07-23 23:51:03

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

No, it is not. They do not have the same base.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#130 2013-07-24 00:06:56

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

It is due to such situations why I could not solve the previous problem since it has 6*3^2n+3. the six made it hard for me to manipulate. One cannot reduce it to be three. Or if the six had been three I would multiply it with the three to get nine and then reduce it to three, so I could manipulate. Since nine would be a perfect square.


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#131 2013-07-24 00:09:25

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

Then the final answer would be 9*16 = 144, is that right?


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#132 2013-07-24 00:11:10

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

6 = 2 * 3 so you could have combined that statement into

6*3^(2n+3) = 2 *3 * 3^(2n+3)=  2 * 3^(2n+4)

and you are done.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#133 2013-07-24 00:19:52

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

bobbym wrote:

6 = 2 * 3 so you could have combined that statement into

6*3^(2n+3) = 2 *3 * 3^(2n+3)=  2 * 3^(2n+4)

and you are done.

I don't understand yours, I thought it would be

2*3*3(2n+3) = 2*9^(2n+3) = 2*3^3(2n+3) = 2*3^(6n+9)

Last edited by EbenezerSon (2013-07-24 00:20:56)


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#134 2013-07-24 00:24:35

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

I must review your procedure with the previous problem to comprehend.


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#135 2013-07-24 00:25:02

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

You add coefficients:

2 * 3^1 * 3^(2n+3)

2n +3 + 1 = 2n + 4 so

2 * 3^(2n+4)

Are you saying that

because that is incorrect.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#136 2013-07-24 00:30:16

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

Errrr okay I have got you, then what would one  make of the two, I mean the base.

Last edited by EbenezerSon (2013-07-24 00:33:59)


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#137 2013-07-24 00:35:55

EbenezerSon
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Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

bobbym wrote:

You add coefficients:

2 * 3^1 * 3^(2n+3)

2n +3 + 1 = 2n + 4 so

2 * 3^(2n+4)

Are you saying that

because that is incorrect.

The two I have underlined above.


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#138 2013-07-24 00:37:49

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

Hi;

You can only do this:


6 * 3^(2n+3)

2 * 3 * 3^(2n+3)

2 * 3^1 * 3^(2n+3)

Add the exponents on the threes.

2n +3 + 1 = 2n + 4 so

2 * 3^(2n+4)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#139 2013-07-24 00:43:17

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

Okay I digest it. But can I  use that procedure to arrive on that answer 7 you had in the previous problem?

Last edited by EbenezerSon (2013-07-24 00:44:58)


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#140 2013-07-24 00:46:04

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

That problem is a real bear and I recommend the other method, the one I posted.

I am going to get a little bit of sleep see you later.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#141 2013-07-24 00:49:48

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

Okay,  Thanks God bless. I shall solve more problems.


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#142 2013-07-24 02:43:47

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

How did you do?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#143 2013-07-24 03:52:01

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

Hi, bobbym I have come across another confusing one with different bases.

Solve for X.

3^x * 2^x-1 = 1.

How would one go about this? Is wierd.

Last edited by EbenezerSon (2013-07-24 04:01:51)


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#144 2013-07-24 03:53:51

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

Is that

because if it is...


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#145 2013-07-24 04:36:19

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

The book has 0.39 answer


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#146 2013-07-24 04:43:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

That is correct if you round my answer to 2 decimal places.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#147 2013-07-24 06:58:42

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

bobbym wrote:

Is that

because if it is...

Please help me understand this.

Thanks in advance


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#148 2013-07-24 14:58:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

I can show you the steps but unless you have a little knowledge about logarithms it will be confusing.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#149 2013-07-24 20:46:43

EbenezerSon
Member
Registered: 2013-07-04
Posts: 399

Re: Simplify the following:

I had solved much problems on logarithms.
Usually I had encountered problems on indices with unequal bases, and the book used log to solve but I can't percieve this would need logarithm application.

Please carry on!


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#150 2013-07-24 20:56:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

Re: Simplify the following:

Okay, I will provide the steps:

Take the log of both sides.

Add log(2) to both sides.

Divide both sides by ( log(2) + log(3) ).

And we are done.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

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