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# Which of the following best approximates the value of q if

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Director
Joined: 23 May 2008
Posts: 757
Which of the following best approximates the value of q if [#permalink]

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28 Aug 2008, 16:28
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the following best approximates the value of q if 5^28+3^11=5^q ?

39
30
28
27
17
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1346
Re: from mgmat number properties question bank [#permalink]

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28 Aug 2008, 16:51
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
Joined: 23 May 2008
Posts: 757
Re: from mgmat number properties question bank [#permalink]

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28 Aug 2008, 16:57
gotcha, makes more sense when you put it like that

OA is 28
Current Student
Joined: 11 May 2008
Posts: 552
Re: from mgmat number properties question bank [#permalink]

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28 Aug 2008, 19:15
good problem ... +1 IAN...
Intern
Joined: 16 Feb 2006
Posts: 30
Location: ZURICH
Re: from mgmat number properties question bank [#permalink]

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31 Aug 2008, 03:21
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

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Re: from mgmat number properties question bank   [#permalink] 31 Aug 2008, 03:21
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# Which of the following best approximates the value of q if

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