Problem 1172 (difficulty: 2/10)

For which \(\displaystyle c\in \R\)

\(\displaystyle \sum_{k=0}^\infty \binom{c}{k} = 2^c ? \)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government