Algebra II
10­5
Laws of Logarithms
1
The answer to a logarithm is _____________.
Laws of Exponents Laws of Logarithms ­
1) xm xn =
1)
m
x
2)
n =
x
2)
n
3) ( xm ( =
3)
2
Express each logarithm in terms of log2 M and log2 N.
(pg 476)
1) log2 M 6 N 3
Express as a logarithm of a single number or expression.
1
23) 4 log3 A ­ log
3 B
2
3
Express as a logarithm of a single number or expression.
25) log2 M + log2 N + 3
4
Simplify.
29) 2 log 5 + log 4
10
10
5
Solve.
33) loga x = 2 loga 3 + loga 5
39) log2 (x2 ­ 9) = 4
6
7