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**nando88****Member**- Registered: 2013-07-07
- Posts: 6

I have an equation that looks something like this= a^2+b=c and I want to apply logarithms to both sides of the equation, can someone please tell me how would the equation look like after applying the logarithm to both sides?

Thanks in advance!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,629

Hi;

This is your equation?

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**If it ain't broke, fix it until it is.**

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**nando88****Member**- Registered: 2013-07-07
- Posts: 6

yes

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,629

When you take the log of both sides you get:

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,066

hi

I'm trying to anticipate your next step; maybe like this would be useful:

Bob

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**nando88****Member**- Registered: 2013-07-07
- Posts: 6

and if I had something like log(3^3+3^4)=log(3^7), how could I simplify log(3^3+3^4). How could you solve this, because I tried adding what's inside the parenthesis and then applying logarithm and it didn't work. How can I solve this equation?

*Last edited by nando88 (2013-07-08 00:15:15)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,629

3^3 + 3^4 does not equal 3^7

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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**nando88****Member**- Registered: 2013-07-07
- Posts: 6

How could I apply a logarithm to 3^3+3^4?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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You could apply it to

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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**EbenezerSon****Member**- Registered: 2013-07-04
- Posts: 485

nando88 wrote:

and if I had something like log(3^3+3^4)=log(3^7), how could I simplify log(3^3+3^4). How could you solve this, because I tried adding what's inside the parenthesis and then applying logarithm and it didn't work. How can I solve this equation?

Check very well from the source I suppose there should be some kind of: log2=3.142 or Log3=616 or something, so that you can substitute into the equation, because to me this log could be solved to some extent but good final solution is not possible. If something of that kind is not provided.

*Last edited by EbenezerSon (2013-07-08 02:56:15)*

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**nando88****Member**- Registered: 2013-07-07
- Posts: 6

whe will a log of a number return a whole number?

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**EbenezerSon****Member**- Registered: 2013-07-04
- Posts: 485

nando88 wrote:

whe will a log of a number return a whole number?

Sometimes the when a log question is given, one could arrive on figures which you must substitute them into it. Actually the question setter, will set it in such way that you will arrive on those whole numbers. An finally you will substitute.

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

nando88 wrote:

whe will a log of a number return a whole number?

Hi nando

Welcome to the forum!

Well, it depends on the base of the logarithm. If you have the logarithm base 10, then the logarithm of the integer powers of ten will be integers.

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**EbenezerSon****Member**- Registered: 2013-07-04
- Posts: 485

See the following:

Solve the following logarithm:

Log6 + Log10. Given that, Log2=3.14 Log3=616

= Log(2*3)+Log10 = Log2+log3 +log10= (3.14+616+1) = 620.14.

Note that, Log10=1

This is what I mean.

I hope you cotton.

*Last edited by EbenezerSon (2013-07-08 03:25:52)*

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

EbenezerSon wrote:

Given that, Log2=3.14 Log3=616

These values are not correct.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**EbenezerSon****Member**- Registered: 2013-07-04
- Posts: 485

Yes I did it as an example, It not the real values.

Thanks.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,629

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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