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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

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

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

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

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

### Re: Simplify the following:

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.
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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## #128 2013-07-23 23:44:23

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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.

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

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

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

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

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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)

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

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

### Re: Simplify the following:

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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)

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

bobbym wrote:

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.

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

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

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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)

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

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

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

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

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

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

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

### Re: Simplify the following:

How did you do?

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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.

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

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

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

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

### Re: Simplify the following:

Is that

because if it is...

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

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

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

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### Re: Simplify the following:

bobbym wrote:

Is that

because if it is...

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

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

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

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 551

### 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.

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

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

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

### Re: Simplify the following:

Okay, I will provide the steps:

Take the log of 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.
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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