How would you solve a problem like this with logarithims? I tried to start a couple of different ways but I kept getting stuck. Do you take the logs of both sides right away or do you do something else first?

17c^2/3 = 44

I would do it like this.

C^2/3 = 44/17
Then log c^2/3 = log (44/17)
2/3*log c = log (44/17) etc. etc.