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Nonnegative Exponent Evaluation Nuance (Posted on 2023-06-18)

Find the possible nonnegative integer values of X so that:

5^X + 3

corresponds to a nonnegative integer power of 2.

Prove that no other value of X conforms to the given conditions.

Note: Adapted from a problem appearing at Spanish Mathematical Olympiad in 1986.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

X=0,1,3arethe only possible values.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2023-06-18 11:36:34
an observation	Larry	2023-06-18 10:05:15

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