the book simply says find the exact value of each expression. without a calculator. using properties of logarithms.( which it lists, but I can't see where they apply)

1. log6^18-log6^3

for this I just divided 18 by 3 getting 6. log6^6=1? is that right?

2.log3^8 * log8^9

for this i tried change of base. I did

(logb^8/logb^3) * (logb^9/logb^8)

3. e^(log(e^2)^16)

I'm completely lost on this one. Supposedly these are all really easy to do without a calculator. i just don't know how to do them. Any help would be greatly appreciated.