Name ___________________________________
Date _________________________
Use the properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
−
11.
log
108
log
9
11. _______________
4
4
−
12.
log
1250
log
2
12. _______________
5
5
+
13.
log
2
log
x
13. _______________
6
6
+
14.
log
9
log
4
14. _______________
6
6
−
−
+
15.
log
(
) 1
log
(
) 3
15. _______________
x
x
7
7
+
−
−
16.
log
(
x
) 2
log
(
x
) 2
16. _______________
b
b
−
17.
2
log
4
log
17. _______________
x
y
5
5
+
18.
6
log
x
2
log
y
18. _______________
3
3
Use common logarithms or natural logarithms and a calculator to evaluate to four decimal
places.
19.
log
17
19. _______________
4
20.
log
14
20. _______________
6
AE-356