Question

How do you expand this logarithm?

`log_(9)(zsqrtx*y)`

Answer 1

This is the best I got...

Explanation:

Try to use the product of the arguments to change it into a sum of logs as:
`log_9(zsqrt(x)*y)=log_9(z*sqrt(x))+log_9(y)=` and again:
`=log_9(z)+log_9(sqrt(x))+log_9(y)`

Answer 2

`log_9sqrtx=log_9x^(1/2)=1/2log_9x`