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Topic: Take Home Test
Replies: 2   Last Post: Jan 1, 2013 5:39 AM

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Peter Duveen

Posts: 163
From: New York
Registered: 4/11/12
Re: Take Home Test
Posted: Dec 17, 2012 10:28 AM
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This might be a little late, but seems to me like this:

we have two equal quantities, so why not raise the same base to each of these quantities, and we have equal quantities again.


e^(ln8x + ln4x) = e^ln33

now a number raised to the sum of two terms is equal to the product of the number raised to each term, so

e^ln8x times e^ln4x - e^ln33

But by the definition of ln, the left side and right side may be rewritten simply as

8x times 4x = 33

32x^2 = 33

x^2 = 33/32

x = +-sqrt 33/32, a rather ugly result. That's how I would have done the problem.

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Peter Duveen
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