Use properties of logarithms to condense the logarithmic exp

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.

6 ln x - 1/3 ln y = ?

Solution

6ln(x)-(1/3)lny= ln(x^6) - ln(y^(1/3))

By property of logarithm

ln(a)-ln(b)=ln(a/b)

ln(x^6) - ln(y^(1/3)) = ln[x^6/y^(1/3)]