1. Let $A$ be a set of three distinct real numbers, and let the set $B=\{x+y \mid x, y \in A, x \neq y\}$. If $B=$ $\left\{\log _{2} 6, \log _{2} 10, \log _{2} 15\right\}$, then the set $A=$ $\qquad$ .
Let $A=\{x, y, z\}$, then 
\[
\left\{\begin{array}{l}
x+y=\log _{2} 6, \\
x+z=\log _{2} 10, \\
y+z=\log _{2} 15
\end{array} \Rightarrow x+y+z=\log _{2} 30 \Rightarrow\left\{\begin{array}{l}
x=1, \\
y=\log _{2} 3, \\
z=\log _{2} 5 .
\end{array}\right.\right.
\]
Therefore, the set $A=\left\{1, \log _{2} 3, \log _{2} 5\right\}$.