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# is 2^x greater than 100? 1. 2^sq.root of x=8 2. 1/2^sq.root

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Intern
Joined: 23 Sep 2004
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is 2^x greater than 100? 1. 2^sq.root of x=8 2. 1/2^sq.root [#permalink]

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09 Nov 2004, 18:03
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is 2^x greater than 100?

1. 2^sq.root of x=8
2. 1/2^sq.root of x <0.01

The answer is D. I understand #1 but i just don't get #2. The explantion says that #2 implies

2^sq.root of x is > 1/.01 or

2^x>100

I dont understand this logic. Can anyone help?
Thanks.

Tim

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Intern
Joined: 08 Nov 2004
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Location: Montreal

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09 Nov 2004, 18:23
It's a rule

x>y

implies:

1/x < 1/y

So, in our case:

1/2^sqrt(x) < 1/100

implies

2^sqrt(x) > 100

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Director
Joined: 07 Nov 2004
Posts: 683

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09 Nov 2004, 19:52
Try using numbers, for instance

4>2, but if you look at their inverse 1/4<1/2

which demonstrates the rule, x>y => 1/x<1/y

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Joined: 31 Dec 1969

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Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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09 Nov 2004, 20:17
Thank you both. That was a real help!!

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DS-Feeling stupid   [#permalink] 09 Nov 2004, 20:17
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