use properties of logarithms to expand the logarithmic expression

Question

use properties of logarithms to expand the logarithmic expression.

 

log_9 3√x⁶ y/81

 

 

Answer 1

Assuming that the expression is for the log to the base 9 of the cube root of x^6 · y all over 81:

 

1/3 [ 6 log₉ x + log₉ y ] - log₉ 81