Answer;
[tex]\text{ log z - 6 log x}[/tex]
Explanation;
To solve this, we are going to use one of the logarithm rules
The rule is the subtraction and/or the division rule and it applies to logarithms having the same base
It can be summarized as;
[tex]\log \text{ a - log b= log }\frac{a}{b}[/tex]
Looking at the question, we can see that we have an exponent; hence we shall be needing the exponent rule for logarithms here too. It can be represented as follows;
[tex]^{}Loga^b\text{ = bLog a}[/tex]
So, we shall be applying these two rules to solve the problem at hand
[tex]\begin{gathered} \log \text{ }\frac{z}{x^6} \\ =logz-logx^6 \\ =\text{ log z - 6 log x} \end{gathered}[/tex]
