Writing Logs in Terms of Others - Kuta Software

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Kuta Software - Infinite Algebra 2
Name___________________________________
Rewriting Logs in Terms of Others
Date________________
Period____
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a
calculator to evaluate the logs.
1) log 12 ≈ 1.1
log 8 ≈ 0.9
log 7 ≈ 0.8
2) log 12 ≈ 1.1
log 8 ≈ 0.9
log 7 ≈ 0.8
Find log 7 8
Find log 2 3
3) log 12 ≈ 1.1
log 7 ≈ 0.8
log 8 ≈ 0.9
Find log 64
4) log 8 ≈ 0.9
log 12 ≈ 1.1
log 7 ≈ 0.8
Find log 96
5) log 7 ≈ 0.8
log 12 ≈ 1.1
log 8 ≈ 0.9
Find log 1
64
6) log 8 ≈ 0.9
log 7 ≈ 0.8
log 12 ≈ 1.1
Find log 1 7
7) log 3
10 ≈ 2.1
log 3
11 ≈ 2.2
log 3
8 ≈ 1.9
Find log 3
330
8) log 8
12 ≈ 1.2
log 8
7 ≈ 0.9
log 8
9 ≈ 1.1
Find log 8
81
7
9) log 5
11 ≈ 1.5
log 5
6 ≈ 1.1
log 5
4 ≈ 0.9
Find log 5
264
10) log 9
8 ≈ 0.9
log 9
11 ≈ 1.1
log 9
6 ≈ 0.8
Find log 9
486
11) log 6
10 ≈ 1.3
log 6
7 ≈ 1.1
log 6
8 ≈ 1.2
Find log 6
3
50
12) log 6
8 ≈ 1.2
log 6
7 ≈ 1.1
log 6
10 ≈ 1.3
Find log 6
800

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©W g2D031519 PKAuHtxa4 tSWo9fmtlw7aTrHez fLmLzCk.O 8 hAAlOlj drTibg2hEtLss nreeQsweUrHvBekdj.t L 3MbaAdDev iwriktGhZ JILnVfeidnbi3tXeK LAelRgbekb6rYa6 C2a.J Worksheet by Kuta Software LLC
13) log 6 = A
log 9 = B
log 4 = C
Find log 1
16
14) log 4
7 = R
log 4
6 = S
log 4
9 = T
Find log 4
24
15) log 5
12 = R
log 5
9 = S
log 5
11 = T
Find log 5
1
12
17) log 8
6 = A
log 8
9 = B
log 8
10 = C
Find log 8
729
16) log 9
7 = A
log 9
4 = B
log 9
10 = C
Find log 9
1
16
18) log 7
6 = R
log 7
8 = S
log 7
10 = T
Find log 7
392
19) log 6
10 = X
log 6
7 = Y
log 6
4 = Z
Find log 6
1
9
21) log 5
6 = P
log 5
4 = Q
log 5
9 = R
Find log 5
1
270
23) log 7
3 = X
log 7
8 = Y
log 7
10 = Z
Find log 7
15
32
20) log 8
6 = A
log 8
9 = B
log 8
7 = C
Find log 8
729
22) log 8
10 = P
log 8
12 = Q
log 8
11 = R
Find log 8
5
256
24) log 8
12 = P
log 8
5 = Q
log 8
9 = R
Find log 8
32
27

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©J j240W1x1c aKVuVt3ac OSZojfQttwvaGrweU ALjLBCw.7 C ZABl9lU qrgilgqhutLsR Wr xe0sgeYrEvYepdc.N Z pM3ajdeeH mwUiytxhB 5ILnIfviCnWiLtoe1 LARl4gYeabPrpa4 q2N.x Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Rewriting Logs in Terms of Others
Date________________
Period____
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a
calculator to evaluate the logs.
1) log 12 ≈ 1.1
log 8 ≈ 0.9
log 7 ≈ 0.8
2) log 12 ≈ 1.1
log 8 ≈ 0.9
log 7 ≈ 0.8
Find log 7 8
−0.1
3) log 12 ≈ 1.1
log 7 ≈ 0.8
log 8 ≈ 0.9
Find log 64
1.8
5) log 7 ≈ 0.8
log 12 ≈ 1.1
log 8 ≈ 0.9
Find log 1
64
−1.8
7) log 3
10 ≈ 2.1
log 3
11 ≈ 2.2
log 3
8 ≈ 1.9
Find log 3
330
5.3
9) log 5
11 ≈ 1.5
log 5
6 ≈ 1.1
log 5
4 ≈ 0.9
Find log 5
264
3.5
11) log 6
10 ≈ 1.3
log 6
7 ≈ 1.1
log 6
8 ≈ 1.2
Find log 6
3
50
−1.6
Find log 2 3
−0.2
4) log 8 ≈ 0.9
log 12 ≈ 1.1
log 7 ≈ 0.8
Find log 96
2
6) log 8 ≈ 0.9
log 7 ≈ 0.8
log 12 ≈ 1.1
Find log 1 7
−0.8
8) log 8
12 ≈ 1.2
log 8
7 ≈ 0.9
log 8
9 ≈ 1.1
Find log 8
81
7
1.3
10) log 9
8 ≈ 0.9
log 9
11 ≈ 1.1
log 9
6 ≈ 0.8
Find log 9
486
2.8
12) log 6
8 ≈ 1.2
log 6
7 ≈ 1.1
log 6
10 ≈ 1.3
Find log 6
800
3.8

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13) log 6 = A
log 9 = B
log 4 = C
Find log 1
16
−2C
14) log 4
7 = R
log 4
6 = S
log 4
9 = T
Find log 4
24
S + 1
15) log 5
12 = R
log 5
9 = S
log 5
11 = T
1
Find log 5
12
−R
17) log 8
6 = A
log 8
9 = B
log 8
10 = C
Find log 8
729
3B
19) log 6
10 = X
log 6
7 = Y
log 6
4 = Z
1
Find log 6
9
Z − 2
21) log 5
6 = P
log 5
4 = Q
log 5
9 = R
1
Find log 5
270
−1 − P − R
23) log 7
3 = X
log 7
8 = Y
log 7
10 = Z
Find log 7
15
32
Z + X − 2Y
16) log 9
7 = A
log 9
4 = B
log 9
10 = C
1
Find log 9
16
−2B
18) log 7
6 = R
log 7
8 = S
log 7
10 = T
Find log 7
392
S + 2
20) log 8
6 = A
log 8
9 = B
log 8
7 = C
Find log 8
729
3B
22) log 8
10 = P
log 8
12 = Q
log 8
11 = R
5
Find log 8
256
P − 3
24) log 8
12 = P
log 8
5 = Q
log 8
9 = R
Find log 8
32
27
P + 1 − 2R
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