Logarithms

Please show all clear steps, thank you.

Ex1. Simplify
log(27^x) base 3

Ex2. Multiple Choice
In 1933, an earthquake in Japan had a magnitude of 8.9 on the Richter scale and in 1976, an earthquake in Italy had a magnitude of 6.5. How many times as intense was the 1933 Japan earthquake compared to the 1976 Italy earthquake.
A) 2.4 B) 1.4 C) 10^(2.4) D) 10^(1.4)

Ex3. Solve for x
log(log 10x base 4) base 2 = 1

Ex4. solve
4^x = 3^(x+1)

Please help, hank you very much ^.^