You can put this solution on YOUR website!
Let's look at what we know about logarithms:
Using these facts, let's operate on your orignial expression:
Beginning with the first term, remember that
Similarly, the other two terms become:
is the cube root of z, but I can't render that on this system)
Putting the terms together, using the second rule from above:
The answer would be much neater if I could replace the fractional power on z with a cube root radical, but it is still correct in this form.