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Which of the following best approximates the value of q if

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Which of the following best approximates the value of q if [#permalink] New post 02 Nov 2008, 02:36
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Which of the following best approximates the value of q if 5^28+3^11=5^q ?

A 39
B 30
C 28
D 27
E 17
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Re: PS : Approximation [#permalink] New post 02 Nov 2008, 02:54
3^3 could approximately equal 5^2
Hence, 3^11 approximately equals 5^6*5 = 5^7

Hence, 5^28 + 5^7 = 5^7(5^21 + 1)
We can ignore 1 within the bracket and approximate value will be 5^28.

Hence, q should be 28.
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Re: PS : Approximation [#permalink] New post 02 Nov 2008, 02:57
3^11 is a small number compared to 5^28. Given the answer choices, C is the best answer
Re: PS : Approximation   [#permalink] 02 Nov 2008, 02:57
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