Answer:
[tex]log_{4}(\frac{2x}{6y})[/tex]
Step-by-step explanation:
According to the Quotient Rule (Logarithmic Property):
[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]
Therefore, you could combine the logarithmic expressions as:
[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]
Optional:
If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:
[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]
