Use properties of logarithms to condense 4 ln x6 ln y Write

Solution

Given expression is 4lnx -6lny

as we know aln(b) =ln(b^a)

so given expression becomes ln(x^4) -ln(y^6)

and we also know by rule of logarithms ln(a) -ln(b) =ln(a/b)

so expression condenses to ln((x^4)/y^6)

Thank you