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#2 2012-12-05 09:32:01
- anonimnystefy
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Re: Solve the logorithmic equation
Have you tried raising 8 to the power of lhs and rhs?
Just in case you don't kmow:
LHS means "left hand side"
RHS means "right hand side"
Better safe than sorry 
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#3 2012-12-05 12:24:13
- bobbym
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Re: Solve the logorithmic equation
Hi;
The correct answer is listed as 64.
I am not getting that. Is this the correct equation?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#4 2012-12-05 12:54:48
- scientia
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Re: Solve the logorithmic equation
It should be
#5 2012-12-05 13:38:49
- bobbym
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Re: Solve the logorithmic equation
Hi;
Thanks scientia!
As the man said, "Notation, notation, notation!"
"Our ships must all sail in the same direction."-Don Lucchesi
raise up everything to the power of 8.
Plug back in to the original equation to see that 64 is a root.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#6 2012-12-05 14:35:13
- noelevans
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Re: Solve the logorithmic equation
Hi!
Or using the laws of logarithms the LHS = log [x(x-63)] so log [x^2-63x] = 2.
8 8
Converting to exponential notation (or making both sides exponents for 8) we have
2
8 = x^2 - 63x so that x^2 - 63x - 64 = 0. And upon factoring the LHS: (x-64)(x+1) = 0.
Hence x=64 or x=-1. We can eliminate the -1 if we don't wish to get into complex numbers.
Converting from log notation to exponential notation and visa versa is simple:
log y = z is equivalent to
x
z
x = y
If we write the base x for both the log and the exponential on the same side (left here) then
the other two quantities ( y and z here) switch sides.
x
Other examples: log 32 = x becomes 2 = 32 (so x=5)
2
x -2
log (1/9) = x becomes 3 = 1/9 = 3 hence x=-2.
3
3
5 = 125 becomes log 125 = 3.
5
and so forth.
logarithms ARE EXPONENTS. It's just a naming device so we can tell what base they are supposed
to go on and to see what the result should be if we put in on that base.
log100
Example: 10 log100 is the exponent we must put on 10 to get 100.
2
Since 10 = 100, log100 = 2.
lnx lnx
e lnx is the exponent we must put on e to get x. Hence e = x.
log N
b
In general b = N so log N is the exponent we must put on b to get N. (b>0 and b<>1).
b
Have a great day (or night as the case may be)!
Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).
LaTex is like painting on many strips of paper and then stacking them to see what picture they make.
#8 2012-12-06 07:18:50
- bobbym
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Re: Solve the logorithmic equation
Hi;
Actually that thanks should go to anonimnystefy who showed the way and scientia for figuring out what you wanted.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#9 2012-12-06 07:26:29
- anonimnystefy
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Re: Solve the logorithmic equation
No, it goes to you guys.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#10 2012-12-06 08:16:48
- bobbym
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Re: Solve the logorithmic equation
Okay, then I will take all the credit everywhere, for everything.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#11 2012-12-06 08:34:20
- anonimnystefy
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Re: Solve the logorithmic equation
Everywhere?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#12 2012-12-06 08:46:03
- bobbym
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Re: Solve the logorithmic equation
Yes, writing the Principia Mathematica nearly killed me.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#14 2012-12-06 11:40:55
- bobbym
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Re: Solve the logorithmic equation
Hi;
For that I apologize.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#15 2012-12-06 20:56:07
- anonimnystefy
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Re: Solve the logorithmic equation
So, you are the genius behind Russell?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#16 2012-12-06 21:00:24
- bobbym
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Re: Solve the logorithmic equation
No, I am doing as you instructed.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#17 2012-12-06 21:04:26
- anonimnystefy
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Re: Solve the logorithmic equation
And what is it that I instructed?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#18 2012-12-06 21:07:13
- bobbym
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Re: Solve the logorithmic equation
To take credit for everything, everywhere. Did you know I invented aluminum foil?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#19 2012-12-06 21:09:11
- anonimnystefy
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Re: Solve the logorithmic equation
And did you know I never said that?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#20 2012-12-06 21:10:37
- bobbym
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Re: Solve the logorithmic equation
But you certainly tempted me to do it. Did you realize I am the discoverer of Pluto?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#21 2012-12-07 20:56:49
- anonimnystefy
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Re: Solve the logorithmic equation
You do realize that I gave you credit just for this problem?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#22 2012-12-07 21:05:37
- bobbym
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Re: Solve the logorithmic equation
Then I did not really discover Pluto or write the Principia Mathematica? Perhaps you will now say that I did not invent aluminum foil?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#23 2012-12-07 21:14:32
- anonimnystefy
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Re: Solve the logorithmic equation
Yup!
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#24 2012-12-07 21:23:44
- bobbym
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Re: Solve the logorithmic equation
Okay, but I did invent the method I used on Agnishom's problem...
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#25 2012-12-07 21:25:35
- anonimnystefy
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Re: Solve the logorithmic equation
Which problem is that?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón