Finding an Exponent Variable  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

Finding an Exponent Variable

Postby maroonblazer on Sun Dec 04, 2011 6:49 pm

Hi again,
The problem states:
If
find and

The answer is a=8 and b=3, but I'm stumped as to how they got there.

It seems like I need to turn the right-hand side into an addition expression. I can convert it to a product by expressing as , but I don't know what to do next to get it to an addition expression. Perhaps that's not the right strategy?

Thanks in advance,
mb
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Postby stapel_eliz on Sun Dec 04, 2011 7:14 pm

maroonblazer wrote:If
find and

The answer is a=8 and b=3, but I'm stumped as to how they got there.

When in doubt, do what you can with what you have, and see where that leads. With luck, you'll start seeing something helpful.

. . . . .

. . . . .

. . . . .

. . . . .

Do you see where to go now? :wink:
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Re: Finding an Exponent Variable  TOPIC_SOLVED

Postby maroonblazer on Sun Dec 04, 2011 8:07 pm

Do you see where to go now?


Ahh...so:










:clap:

I have to say though:
When in doubt, do what you can with what you have, and see where that leads. With luck, you'll start seeing something helpful.


I find this to be one of the most frustrating things about math. It seems like so much of it is rooting around aimlessly in the hope of stumbling upon something. It seems like, for being an "exact" science, it should be more exact.

As always I really appreciate your help!
mb
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