logarithmic questions

Since ln a^b = b ln a, therefore 2ln(x+5)= ln(x+5)^2.
Since ln a - ln b = ln(a/b), therefore
2ln(x+5) - ln x - ln (x^2-6) = ln [ (x+5)^2/x(x^2-6)].
Similarly, (1/3) [2ln(x+5) - ln x - ln (x^2 -6)] = ln [(x+5)^2/x(x^2-6)]^(1/3).