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# Is 5^k less than 1,000 ? (1) 5^(k-1) > 3000 (2) 5^(k-1) =

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Senior Manager
Joined: 12 Mar 2006
Posts: 373
Schools: Kellogg School of Management
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Kudos [?]: 25 [0], given: 3

Is 5^k less than 1,000 ? (1) 5^(k-1) > 3000 (2) 5^(k-1) = [#permalink]  28 Feb 2007, 21:49
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Is 5^k less than 1,000 ?
(1) 5^(k-1) > 3000
(2) 5^(k-1) = 5^k - 500
Senior Manager
Joined: 29 Jan 2007
Posts: 454
Location: Earth
Followers: 2

Kudos [?]: 36 [0], given: 0

[#permalink]  01 Mar 2007, 17:24
I go with D as well.
You can solve both

for 1 I got
5^K > 15000

for 2 I got

5^k = 2500/4
VP
Joined: 09 Jan 2007
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Location: New York, NY
Schools: Chicago Booth Class of 2010
Followers: 10

Kudos [?]: 156 [0], given: 3

[#permalink]  02 Mar 2007, 03:19
1) 5^(k-1)>3000
5^k>5*3000=15000
Suf

2)5^(k-1)=5^k-500
5^k=5^(k+1)-2500
5^(k+1)-5^k=2500
5^k*5-5^k=5^4*2^2
5^k*(5-1)=5^4*2^2
5^k=5^4
Suf

But one don't need to solve that, by discovering that we could solve the equation, we could know that k, and consequently, 5^k could be solved, so 2 would be suf.

D
[#permalink] 02 Mar 2007, 03:19
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# Is 5^k less than 1,000 ? (1) 5^(k-1) > 3000 (2) 5^(k-1) =

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