Answer:
ln(xy) - ln(x/y) = 2ln(y)
Step-by-step explanation:
To solve this problem one must have knowledge about properties of logarithmic functions.
According to the product property:
[tex]ln(xy) = ln(x) + ln (y)[/tex]
According to the quotient property:
[tex]ln(x/y) = ln(x) - ln (y)[/tex]
Combining both properties it is possible to rewrite the expression as:
[tex]ln(xy) - ln(x/y) = ln(x) + ln (y) - (ln(x) - ln(y))[/tex]
[tex]ln(xy) - ln(x/y) = 2ln (y) [/tex]
