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Which of the following best approximates the value of \(q\) if \(5^{28}+3^{11}=5^q ?\)

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Which of the following best approximates the value of \(q\) if \(5^{28}+3^{11}=5^q ?\)

by VJesus12 » Wed May 20, 2020 6:08 am

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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

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT
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Re: Which of the following best approximates the value of \(q\) if \(5^{28}+3^{11}=5^q ?\)

by Scott@TargetTestPrep » Mon Jun 01, 2020 7:16 am
VJesus12 wrote: ↑
Wed May 20, 2020 6:08 am
 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

[spoiler]OA=C[/spoiler]

Solution:

Since 5^28 is much larger than 3^11, their sum is still approximately 5^28. Therefore, the best approximate value for q is 28.

Answer: C

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