Properties of Logarithms

Question

Rewrite in terms of log_ax, log_ay, and log_az, using properties of logarithms:

 

In(√x²/y³)

Answer 1

If you mean ln[(√x²)/y³], see Kenneth's answer.  But if you mean ln√(x²/y³), then 

 

ln√(x²/y³) = ln[(x²/y³)^1/2] = (1/2) ln(x²/y³) = (1/2)(2lnx - 3lny)

Answer 2

= ln x - 3ln y  (each of x & y > 0)