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Which of the following best approximates the value of q if

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Director
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Which of the following best approximates the value of q if [#permalink] New post 01 Nov 2007, 15:06
Which of the following best approximates the value of q if 528+311=5q ?


39
30
28
27
17
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 [#permalink] New post 01 Nov 2007, 15:17
Are you sure there isn't a typo here?

q is > 100
Director
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Correction --- [#permalink] New post 01 Nov 2007, 15:17
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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 [#permalink] New post 01 Nov 2007, 15:19
A. 39 is the best approx.
Director
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 [#permalink] New post 01 Nov 2007, 15:19
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17

My quick and dirty would be;

since 5 ^28 + 3 ^ 11 > 5 ^28 therefore the answer could be either 30 or 39

I would go with 30.
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Director
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 [#permalink] New post 01 Nov 2007, 15:20
any more clues to get to the right answer without doing any calculations?
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Re: Math - MGMT [#permalink] New post 01 Nov 2007, 15:22
alimad wrote:
Which of the following best approximates the value of q if 528+311=5q ?


39
30
28
27
17


From what I remember from these type of problems, you should completely ignore the 3^11.

So in that case q is equal to aprox. 28

C.

If not C then B, sry said D when I meant B.
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Re: Correction --- [#permalink] New post 01 Nov 2007, 18:10
alimad wrote:
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17


NOTE:
GMAT doesnt test your LOGARITHMS skill

Taking logs on both sides

28*log5 + 11*log3 = q*log5

Dividing by log5 throughout

28 + 12(appx) = q

12 appx 'cos loga to base a is 1 but if base is <a>1

Should be 39(appx)

Last edited by trivikram on 01 Nov 2007, 18:30, edited 2 times in total.
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Re: Correction --- [#permalink] New post 01 Nov 2007, 18:26
alimad wrote:
Which of the following best approximates the value of q if 5^28+3^11=5^q ?


39
30
28
27
17


here is my take on the problem:

5^28+3^11=5^q
can be written in this way
5^28 + 3^3 * 3^3 * 3^2 = 5^q
3^3 = 27 close to 5^2, so...
5^28 + 5^2 * 5^2 * 3^2 = 5^q
so it's really 5^28 + 5^4 * 9 = 5^q
so answer is 5^28 + 625*9 (approx)
625*9 does not make a great impact when added to 5^28

i say the answer is q = 28
whats the OA??
Re: Correction ---   [#permalink] 01 Nov 2007, 18:26
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