I’m having trouble with this ACT prep guide problem, can someone help me and explain this

SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The correct logarithmic expression should be:
[tex]\text{log}_7x+\log _7y-\log _7z_{}=log_7(\frac{xy}{z})[/tex]The reason is that: