perplexus.info :: Just Math : Near Exponential Expressions Crossed Value Derivation

Near Exponential Expressions Crossed Value Derivation (Posted on 2022-12-20)

Given that x is a nonzero real number.

Determine the possible value(s) of x satisfying this equation:

(1+1/x)^x+1 = (1+1/7)⁷

*** Adapted from a problem appearing in an Australian Mathematics Competition.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

x=-8 corresponds to the only possible nonzero real number that satisfy the given conditions.
For an explanation, refer to the fully analytic solution submitted by Brian Smith in this location.
For due verification, refer to the semi-analytic solution submitted by Charlie in this location.

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

Subject	Author	Date
Solution	Brian Smith	2022-12-20 10:12:34
solution	Charlie	2022-12-20 08:25:01

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