Use properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with coefficient of 1. All exponents should be positive. ln (6) + 9ln (x) - 5ln (y)

1st transform the multiplication into power:

9ln (x) = ln (x) ⁹

5ln (y) = ln (x) ⁵

ln (6) + ln (x) ⁹ - ln (x) ⁵

Now addition into multiplication:

ln (6) + ln (x) ⁹ - ln (x) ⁵ = ln[ (6). (x) ⁹ - ln (x) ⁵

Now subtraction into division:

ln[ (6). (x) ⁹ - ln (x) ⁵ = ln[6x⁹/x⁵) = = > After simplification = ln (6x⁴)