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

[VJesus12]

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

[Scott@TargetTestPrep]

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