Given the Logarithmic Expression:
[tex]log_3\text{ }2x-5log_3\text{ }y[/tex]
You can write it has a single Logarithmic Expression as follows:
1. Apply the Power Property of Logarithms:
[tex]mlog_b(n)=log_b(n)^m[/tex]
Then:
[tex]=log_3\text{ }2x-log_3\text{ }y^5[/tex]
2. Apply the Quotient Property of Logarithms:
[tex]log_b(m)-log_b(n)=log_b(\frac{m}{n})[/tex]
Then:
[tex]=log_3\text{ }\frac{2x}{y^5}[/tex]
Hence, the answer is: Second option.
