1. Use properties of logarithms
EXAMPLE 1
Use properties of logarithms 3 4
log
Use
0.792 and 7
1.404 to evaluate the
logarithm. a. 4
log 3 7 = 3 – 4
log 7
Quotient property
0.792
1.404 –
Use the given values of 3 4
log 7.
and =
–0.612
Simplify. b. 4
log 21 = 4
log
(3 7)
Write 21 as = 3 4
log + 7
Product property
0.792
1.404 +
Use the given values of 3 4
log 7.
and =
2.196
Simplify.

2. Use properties of logarithms
EXAMPLE 1
Use properties of logarithms 3 4
log
Use
0.792 and 7
1.404 to evaluate the
logarithm. c. 4
log 49 72 = 4
log
Write 49 as 72 4
log = 2 7
Power property
2(1.404)
Use the given value of 7. 4
log =
2.808
Simplify.

3. GUIDED PRACTICE for Example 1 5 6 log Use 0.898 and 8
1.161 to evaluate the
logarithm. 1. 5 8 6
log = 5 – 6
log 8
Quotient property
0.898
1.161 –
Use the given values of 5 6
log 8.
and =
–0.263
Simplify. 2. 6
log 40 = 6
log
(8 5)
Write 40 as = 8 6
log + 5
Product property
1.161
0.898 +
Use the given values of 5 6
log 8.
and =
2.059
Simplify.

4. GUIDED PRACTICE for Example 1 5 6 log Use 0.898 and 8
1.161 to evaluate the
logarithm. 6
log 3. 64 82 = 6
log
Write 64 as 82 = 2 8 6
log
Power property
2(1.161)
Use the given value of 8. 6
log =
2.322
Simplify. 4. 6
log
125 53 = 6
log
Write 125 as 53 = 3 5 6
log
Power property
3(0.898)
Use the given value of 5. 6
log =
2.694
Simplify.