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Which of the following best approximates the value of q if

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Director
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Joined: 23 May 2008
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Kudos [?]: 28 [0], given: 0

Which of the following best approximates the value of q if [#permalink] New post 28 Aug 2008, 15:28
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17
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Re: from mgmat number properties question bank [#permalink] New post 28 Aug 2008, 15:51
bigtreezl wrote:
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17


Notice that 5^28+5^28+5^28+5^28+5^28 = 5*5^28 = 5^29

So 5^28 + 3^11 is much smaller than 5^29, but is clearly larger than 5^28, so q is closest to 28.
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Director
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Joined: 23 May 2008
Posts: 840
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Kudos [?]: 28 [0], given: 0

Re: from mgmat number properties question bank [#permalink] New post 28 Aug 2008, 15:57
gotcha, makes more sense when you put it like that

OA is 28
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Re: from mgmat number properties question bank [#permalink] New post 28 Aug 2008, 18:15
good problem ... +1 IAN...
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Re: from mgmat number properties question bank [#permalink] New post 31 Aug 2008, 02:21
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17


5^28+3^11=5^q
= (4+1)^28 + (4-1)^11 = (4+1)^q use this also approximation

answer will be 28
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Re: from mgmat number properties question bank   [#permalink] 31 Aug 2008, 02:21
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Which of the following best approximates the value of q if

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