Understanding Exponents

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

Postby maroonblazer » Sat Nov 26, 2011 6:05 pm

The book asks:
If and


then express x in terms of y.

The answer it gives is:



I'm struggling to understand the formula or operation(s) one would go through to answer this.

Help?
mb

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maggiemagnet
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Re: Understanding Exponents

Postby maggiemagnet » Sat Nov 26, 2011 11:08 pm

maroonblazer wrote:If and


then express x in terms of y.

Try rewriting 25b+1 so the base is 5. If you can it so it's all in terms of 5b, then you can plug "y" in, and see what you get.
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maroonblazer
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Re: Understanding Exponents

Postby maroonblazer » Sun Nov 27, 2011 12:25 am

Ok, so that would be:
, right?

Still stumped...

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maggiemagnet
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Re: Understanding Exponents

Postby maggiemagnet » Sun Nov 27, 2011 10:45 pm

maroonblazer wrote:Ok, so that would be:
, right?

Still stumped...

How did you get that? Try showing all the steps:

25b+1 = (52)b+1 = 52(b+1) = ...

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pulsar_qsr
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Re: Understanding Exponents

Postby pulsar_qsr » Sat Dec 10, 2011 8:02 pm

25^(b+1) = x
and 5^b = y
or, 5^(b+1) = 5y
or, 5^2(b+1) = 5y^2
or, 25^(b+1) = 25y^2
or, x = 25y^2


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