1. Log Properties/ Theorems/ Laws
single log
expanded log
(M · N) = log
Extension:
log 8 =
log 8

3. Use Log Laws to Evaluate Expressions
ex 1)
log6 8 + log6 9 - log6 2
ex 2)
log7 7√7
ex 3)
2log2 12 - (log2 6 +
1
3
log2 27)

4. Rewrite as a single log:
(x - 2) - 3log
alog3 -
ex 3)
logx - log(a + 1)
log7 x2 + log7 x - 5log7 x
2