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If 3m3m3m = 9n, then m/n = Can someone confirm that the

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If 3m3m3m = 9n, then m/n = Can someone confirm that the [#permalink] New post 21 Sep 2008, 10:01
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If 3m3m3m = 9n, then m/n =

Can someone confirm that the answer is m/n = 3/2?

I took a MGMAT Practice Test and they said the answer was 2/3, how is that possible?
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Re: PS - Exponential Equations [#permalink] New post 21 Sep 2008, 10:12
the question isnt clear but at least what i can tell..3 has to be in the denominator..

since n=3m^2...
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Re: PS - Exponential Equations [#permalink] New post 21 Sep 2008, 10:18
Here is how they explain it but I still don't get how it is m/n = 2/3 and not 3/2

In problems that involve exponential expressions on both sides of the equation, it is imperative to rewrite the bases so that either the same base or the same exponent appears on both sides of the equation. Here, we can get a common base by replacing the 9 with 32.

3m3m3m = 9n
3m3m3m = (32)n
33m = 32n

Since the bases are the same, the exponents must be equal.

3m = 2n
m/n = 2/3
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Re: PS - Exponential Equations [#permalink] New post 21 Sep 2008, 12:53
Thats not math... you cant just replace numbers..

What is the source of this information?

Maybe is they said replace the base by:

m^3(3^3) = n(3^2) i would have believed it
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Re: PS - Exponential Equations [#permalink] New post 21 Sep 2008, 21:37
TrillTalk wrote:
Here is how they explain it but I still don't get how it is m/n = 2/3 and not 3/2

In problems that involve exponential expressions on both sides of the equation, it is imperative to rewrite the bases so that either the same base or the same exponent appears on both sides of the equation. Here, we can get a common base by replacing the 9 with 32.

3m3m3m = 9n
3m3m3m = (32)n
33m = 32n

Since the bases are the same, the exponents must be equal.

3m = 2n
m/n = 2/3


Can you please use the ^ symbol to show us the exponents clearly? That way we can attempt to solve the problem as it was posed to you. Other wise it can lead to many interpretations.
Re: PS - Exponential Equations   [#permalink] 21 Sep 2008, 21:37
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If 3m3m3m = 9n, then m/n = Can someone confirm that the

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