Download Precalculus - extra condense and expand.jnt

Precalculus
Name___________________________________
extra condense and expand
Date________________
Condense each expression to a single logarithm.
1) 2 log 9 x + 5 log 9 y + log 9 z
4) 6 log 2 x − 6 log 2 z − 18 log 2 y
ln a
3
3) ln b + 5 ln c +
2) 15 log 9 u − 3 log 9 v − 3 log 9 w
)
Expand (each logarithm.
3
5) log 6 y ⋅ z ⋅ w x
(
6) log 5
ca
b
6
4
)
3
7) log 7 a ⋅ b ⋅ c
5
8) log 9
( equation.
)
(
Solve each
)
)
(
y
3
6
(
9) log x + 2 + log x + 17 = 2
(
zx
)
11) log 4 x − 2 − log 4 x − 5 = 1
)
10) log 4 −4 x − 2 − log 4 7 = log 4 10
(
)
(
)
12) log 3 x + 3 + log 3 x + 81 = 5
Answers to extra condense and expand
(
)
5 2
1) log 9 z y x
(
)
3 3 15
2) log 9 w v u
5) log 6 y + log 6 z + log 6 w +
log 6 x
(
3) ln bc
)
53
a
4) log 2
6) log 5 c + 6 log 5 a −{4 }log 5 b
{ }
{3}
{ }
7) 15 log 7 a + 5 log 7 b + 5 log 7 c
8) log 9 z + 3 log 9 x − 6 log 9 y
10) −18
11) 6
12) 0
9) 3
x
6
6 18
z y