Rewrite the Given Expression as a Single Logarithm $\left(\log _{\mathrm{x}} \mathrm{x}-\log _{\mathrm{x}} \mathrm{y}\right)+3 \log _{\mathrm{x}} \mathrm{z}$

Multiple Choice

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1 .
- $\left(\log _{\mathrm{x}} \mathrm{x}-\log _{\mathrm{x}} \mathrm{y}\right) +3 \log _{\mathrm{x}} \mathrm{z}$

A) $\log _{x} \frac{x z^{3}}{y}$

B) $\log _{x} x z^{3} y$

C) $\log _{x} \frac{3 x z}{y}$

D) $\log _{x} \frac{x}{z^{3} y}$