Question 118
Real numbers $x$ and $y$ satisfy the following equations:
$$
\begin{aligned}
x & = \log_{10}\left(10^{y-1}+1\right)-1 \\
y & = \log_{10}\left(10^{x}+1\right)-1
\end{aligned}
$$
Compute $10^{x-y}$.
$$
\begin{aligned}
x & = \log_{10}\left(10^{y-1}+1\right)-1 \\
y & = \log_{10}\left(10^{x}+1\right)-1
\end{aligned}
$$
Compute $10^{x-y}$.