Luttrell 2012
139
Name: ______________________
Date: _____
6c - Solving Logarithmic Functions
Solve exactly:
1.
4
64
x
=
2.
2
8
1
x
+
=
3.
3
25
x
=
4.
10
144
x
=
Solve simultaneously these systems in questions 5-6.
5.
y
y
x
x
= ⋅
= ⋅
3 2
6 2
3
6.
y
y
x
x
=
= ⋅
3
2 3
2
7.
log (
)
log (
)
2
2
4
2
3
x
x
−
+
−
=
8.
log (
)
log
3
3
2
1
x
x
−
+
=
9. What are properties of inverses? How do you find an inverse to a function?
10. Graph and determine if
y
x
= −
5
and
y
x
= −
log
5
are inverses.
Find the inverse of:
11.
f x
x
( )
=
+
3
2
2
12.
y
x
=
3
13.
f x
x
( )
(
)
=
−
1
2
Determine if the following pairs of equations are inverses:
14.
f x
x
g x
x
( )
( )
(
)
=
+
=
−
2
2
2
2
15.
f x
g x
x
x
( )
( )
log
= ⋅
=
2 3
2
3
