Level:
Project ID:
1003108807
Accepted:
1
Clonable:
0
Easy:
0
We are given the equation
\[\log x+\log\sqrt x+\log\sqrt[4]x+\log\sqrt[8]x+\dots=2\]
with the unknown \( x \) being a real number. What is the set of all its solutions?
\( \{ 10 \} \)
\( \{ 1 \} \)
\( \{ 100 \} \)
\( \{ \ \} \)
\( \left\{ \frac1{10} \right\} \)