Level:
Project ID:
1003108808
Accepted:
1
Clonable:
0
Easy:
0
We are given the equation
\[ \sum\limits_{n=1}^{\infty}2^{nx}=1 \]
with the unknown \( x \) being a real number. What is the set of all its solutions?
\( \{ -1 \} \)
\( \{ 1 \} \)
\( \{ 1;-1 \} \)
\( \{\ \} \)
\( \{ 0 \} \)