If real numbers $x, y, z$ satisfy $2 + \log_2 x = 3 + \log_3 y = 5 + \log_5 z$, then the size relationship of $x, y, z$ that is impossible is
A. $x > y > z$
B. $x > z > y$
C. $y > x > z$
D. $y > z > x$

If real numbers $x, y, z$ satisfy $2 + \log_2 x = 3 + \log_3 y = 5 + \log_5 z$, then the size relationship of $x, y, z$ that is impossible is
A. $x > y > z$
B. $x > z > y$
C. $y > x > z$
D. $y > z > x$

A student derived an equation that two physical quantities $s$ and $t$ should satisfy. To verify the theory, he conducted an experiment and obtained 15 sets of data for the two physical quantities $(s_{k}, t_{k})$, $k = 1, \cdots, 15$. The teacher suggested that he first take the logarithm of $t_{k}$, and plot the corresponding points $\left(s_{k}, \log t_{k}\right)$, $k = 1, \cdots, 15$ on the coordinate plane; where the first data is the horizontal axis coordinate and the second data is the vertical axis coordinate. Using regression line analysis, the student verified his theory. The regression line passes through the origin with a positive slope less than 1. What is the relationship between $s$ and $t$ that the student obtained most likely to be which of the following options?
(1) $s = 2t$
(2) $s = 3t$
(3) $t = 10^{s}$
(4) $t^{2} = 10^{s}$
(5) $t^{3} = 10^{s}$