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•  » Apply logarithms to both sides of an equation

## #1 2013-07-08 15:47:39

nando88
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### Apply logarithms to both sides of an equation

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!

## #2 2013-07-08 16:01:44

bobbym
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### Re: Apply logarithms to both sides of an equation

Hi;

This is your equation?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

nando88
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yes

## #4 2013-07-08 16:21:33

bobbym
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### Re: Apply logarithms to both sides of an equation

When you take the log of both sides you get:

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #5 2013-07-08 16:51:25

bob bundy
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### Re: Apply logarithms to both sides of an equation

hi

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

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #6 2013-07-08 22:11:07

nando88
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### Re: Apply logarithms to both sides of an equation

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 22:15:15)

## #7 2013-07-08 22:18:53

bobbym
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### Re: Apply logarithms to both sides of an equation

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

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #8 2013-07-08 23:44:53

nando88
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### Re: Apply logarithms to both sides of an equation

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

## #9 2013-07-09 00:27:30

bobbym
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### Re: Apply logarithms to both sides of an equation

You could apply it to

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #10 2013-07-09 00:54:05

EbenezerSon
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### Re: Apply logarithms to both sides of an equation

#### 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 (2013-07-09 00:56:15)

## #11 2013-07-09 00:58:57

nando88
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### Re: Apply logarithms to both sides of an equation

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

## #12 2013-07-09 01:05:03

EbenezerSon
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### Re: Apply logarithms to both sides of an equation

#### 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.

## #13 2013-07-09 01:07:55

anonimnystefy
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### Re: Apply logarithms to both sides of an equation

#### 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.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #14 2013-07-09 01:18:25

EbenezerSon
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### Re: Apply logarithms to both sides of an equation

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 (2013-07-09 01:25:52)

## #15 2013-07-09 01:28:25

anonimnystefy
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### Re: Apply logarithms to both sides of an equation

#### EbenezerSon wrote:

Given that, Log2=3.14 Log3=616

These values are not correct.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #16 2013-07-09 01:30:07

EbenezerSon
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### Re: Apply logarithms to both sides of an equation

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

Thanks.

## #17 2013-07-09 01:48:15

bobbym
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### Re: Apply logarithms to both sides of an equation

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.
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