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Ashetty: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun May 08, 2011 4:33 pm

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by Ashetty » Mon Jul 04, 2011 12:19 pm

(2/3)^n =(3/2)^n

What is value of n?

Answer is -2. How??

Thanks.

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Source: Beat The GMAT — Problem Solving | Mon Jul 04, 2011 12:19 pm

MBA.Aspirant: Master | Next Rank: 500 Posts; Posts: 401; Joined: Tue May 24, 2011 1:14 am; Thanked: 37 times; Followed by:5 members

by MBA.Aspirant » Mon Jul 04, 2011 2:31 pm

Ashetty wrote:(2/3)^n =(3/2)^n

What is value of n?

Answer is -2. How??

Thanks.

2/3)^-2 = 3/2)^2 = 9/4

3/2)^-2 = 4/9

The question should be 2/3^n = 3/2 ^ -n

Quote

Ashetty: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun May 08, 2011 4:33 pm

by Ashetty » Mon Jul 04, 2011 4:41 pm

Thanks!!

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 am; Location: India; Thanked: 375 times; Followed by:53 members

by Frankenstein » Mon Jul 04, 2011 6:50 pm

MBA.Aspirant wrote:
Ashetty wrote:(2/3)^n =(3/2)^n

What is value of n?

Answer is -2. How??

Thanks.
2/3)^-2 = 3/2)^2 = 9/4

3/2)^-2 = 4/9

The question should be 2/3^n = 3/2 ^ -n

Hi,
No, if the question is 2/3^n = 3/2 ^ -n, it is true for all values of 'n'.
If the question is (2/3)^n = (3/2)^n, then n=0.

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