Keltham will throw some more logarithms examples!  Dath ilani kids, before they run into logarithms, have prior experience with seeing numbers as bags of prime factors, maybe running over that for a few minutes will help with priming this pump.

15 is a bag of a 3 and a 5.
4 is a bag of two 2s.
15*4 = 60, so 60 is a bag of two 2s, a 3, and a 5.
If you multiply 2 and 3, you get 6.
So if you divide 60 by 6, you should get a bag of one 2 and a 5.
2 times 5 is 10.  Checks out, right?

Dath ilani kids, before they run into logarithms, have prior experience with seeing numbers as bags of prime factors.  Maybe running over that for a few minutes will help with priming this pump?

15 is a bag of a 3 and a 5.
4 is a bag of two 2s.
15*4 = 60, so 60 is a bag of two 2s, a 3, and a 5.
If you multiply 2 and 3, you get 6.
So if you divide 60 by 6, you should get a bag of one 2 and a 5.
2 times 5 is 10.  Checks out, right?

Dath ilani kids, before they run into logarithms, have prior experience with seeing numbers as bags of prime factors.  Maybe running over that for a few minutes will help with priming this pump?

15 is a bag of a 3 and a 5.
4 is a bag of two 2s.
15*4 = 60, so 60 is a bag of two 2s, a 3, and a 5.
If you multiply 2 and 3, you get 6.
So if you divide 60 by 6, you should get a bag of one 2 and a 5.
2 times 5 is 10.  Checks out, right?

Make up your own bags with numbers and play with that to see if your reasoning by bags-of-factors gets you the right answer.  Well, sure, you can use 4s as factors and see what happens, but if you want to turn numbers into unique bags of numbers, each number in the bag has to not be made up any numbers smaller than itself.

Dath ilani kids, before they run into logarithms, have prior experience with seeing numbers as bags of prime factors.  Maybe running over that for a few minutes will help with priming this pump?

15 is a bag of a 3 and a 5.
4 is a bag of two 2s.
15*4 = 60, so 60 is a bag of two 2s, a 3, and a 5.
If you multiply 2 and 3, you get 6.
So if you divide 60 by 6, you should get a bag of one 2 and a 5.
2 times 5 is 10.  Checks out, right?

Now make up your own bags with numbers and play with that to see if your reasoning by bags-of-factors gets you the right answer.

Well, sure, you can use 4s as factors and see what happens?  But if you want to turn numbers into unique bags of numbers, each number in the bag has to not be made up of any numbers smaller than itself.