Writing Logarithmic Equations Worksheet

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College Algebra 
 Writing Logarithmic Equations 
Name ________________________ 
Homework 
Directions:
Evaluate
the
given
expression
without
using
a
calculator.

1.
log
16

2.
log
64

!
!
!
!
3.
log
4.
log
!
!
!"
!
5. log
4

6. log
3

!"
!"
7. log
1

8. log
1000

!
!"
9.
log
0.01

10. log
10

!"
!"
!
!
11. ln ��
12. ln
!
!!
13. ln ��
14. ln 1

!
!
15. log
��
16. log
!
!
!
Directions:
Use
the
definition
of
a
logarithm
to
write
the
given
equation
in

logarithmic
form.
For
example,
the
logarithmic
form
of
2
 = 8
is
log
 8 = 3.

3
2
!
!
17. 5
= 125

18. 8
= 64

! !
! !
19. 81
= 3

20.9
= 27

!
!!
!!
21. 6
=
22. 10
= 0.001

!"
!
!
23. ��
≈ 20.0855

24. ��
= 1

!
!
25. ��
= 4

26. ��
= ��

 
 
 
 
 
 
 
 
 
 
 
 
 

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