Assume that x y and a are positive numbers. Use the properties of logs to write the expression log a 9(squrt)xy.

Answer 1

log 9√xy
= log9 + 1/2 logx + 1/2 logy
= 2log3 + 1/2 logx + 1/2 logy

or, maybe you meant the 9th root of (xy), in which case we would have

1/9 logx + 1/9 logy