Download Infinite Algebra 2 - 4.4 Logarithm Properties

Algebra 2A
Name___________________________________
©B I2J0Q1J4c PKsuWt]a^ HSKosfRtEw[aLrbeI zLNLcCP.] F rAWlGlZ ZrUiGgEh\tisJ prneisIe^rcv\esdh.
4.4 Logarithm Properties: Extra Practice!
Date________________ Period____
Condense each expression to a single logarithm.
1) 2 log 4 11
2) log 8 2 - log 8 5
3) log 9 5 + log 9 12
4) log 6 + log 7
5) 3 log 4 2 - log 4 11
6) 2 log 6 10 + 2 log 6 3
7) log 6 2 + log 6 7 + log 6 5
8) 2 log 4 3 - log 4 2
9) log 5 x - log 5 y
10) 2 log 4 x
11) log 8 x - 4 log 8 y
12) 5 log 4 a + 3 log 4 b
Worksheet by Kuta Software LLC
-1-
©D C2R0`1L4M KKkuqtoaL oSIolf[tGwmaxrOeu cLrLNCM.E z uAVl^lr FrniWgIhdtssf QrIefsCeBr^vPeRdb.l W CMgaJdqel CwwiJtEhF pI]nJfmi^nbi]taeJ XARljgfekbXroaq `2n.
Expand each logarithm.
13) log 7
3
5
15) log 6 (5 × 2)
17) log 6
2
33
19) log 7
3
11 6
21) log 2 x 3
14) log 8 7 6
16) log 2 3 4
18) log 7
52
12
20) log 6 (7 × 5) 5
22) log 9 (a 3 × b)
Worksheet by Kuta Software LLC
-2-
©P M2i0Q1b4v IKFuEtsaD VSroCfBtQwIaxrNeV DLFLSCy.I E zAEl`lC mrliKg^hgtOsT Brhelsme[r[vleIdC.h W xMgaZdMea CwWiFt[hx NIdnNfRiXn]iAtIeI FAVlOgXePbxreaK q2D.
Use a calculator to approximate each to the nearest thousandth.
23) log 7 3
24) log 3 58
25) log 6 26
26) log 6 14
27) log 2 45
28) log 6
Without a calculator, use the following values to complete the problems that follow:
log 4 5 = 1.161 and log 4 40 = 2.661
29) log 4 8
30) log 4 200
31) log 4 25
32) log 4 20
33) log 4 100
35) log 4 1 + log 4 1600
34) log 4
1
8
36) log 4 35 - log 4 7
Worksheet by Kuta Software LLC
-3-
©q L2`0b1k4O PKTuctGaK DS`offytUw`a\rNeF YL^LDCq.F D `AElHlQ iriiXgihatxs_ krae^sieTrDvdeHdb.V W cMhaJdDep ]wyirtihZ XIynofXipnti[tYeI VAel`g`ezbjrqa_ C2H.
Algebra 2A
Name___________________________________
©S S2O0g1X4A FKNuPtEaY hSBoVfLtnwnaLrpe^ ]LILlCH.y x [AelblC krpirglhhtUsO arAeTsleZrPvReMdA.
4.4 Logarithm Properties: Extra Practice!
Date________________ Period____
Condense each expression to a single logarithm.
1) 2 log 4 11
2) log 8 2 - log 8 5
log 4 121
3) log 9 5 + log 9 12
log 8
4) log 6 + log 7
log 42
log 9 60
5) 3 log 4 2 - log 4 11
log 4
6) 2 log 6 10 + 2 log 6 3
log 6 900
8
11
7) log 6 2 + log 6 7 + log 6 5
8) 2 log 4 3 - log 4 2
log 6 70
9) log 5 x - log 5 y
log 5
log 8
log 4
9
2
10) 2 log 4 x
log 4 x 2
x
y
11) log 8 x - 4 log 8 y
2
5
12) 5 log 4 a + 3 log 4 b
log 4 (a 5b 3)
x
y4
Worksheet by Kuta Software LLC
-1-
©s c2`0u1i4Y jKyuatuaJ sSZocfitkwgaDrNeS cLoLPCi.l C ]Aql\lO arLiugdhutksO CrOedsaeZrYvFetdk.d F hMhaMdyeX Bw]ietEhS `ItnIfrijnGigtweN qAGlwgGembwr`aA Z2j.
Expand each logarithm.
13) log 7
3
5
14) log 8 7 6
6 log 8 7
log 7 3 - log 7 5
15) log 6 (5 × 2)
16) log 2 3 4
log 6 5 + log 6 2
17) log 6
2
33
4 log 2 3
18) log 7
log 6 2 - 3 log 6 3
19) log 7
3
11 6
52
12
2 log 7 5 - log 7 12
20) log 6 (7 × 5) 5
5 log 6 7 + 5 log 6 5
log 7 3 - 6 log 7 11
21) log 2 x 3
22) log 9 (a 3 × b)
3 log 9 a + log 9 b
3 log 2 x
Worksheet by Kuta Software LLC
-2-
©y Q2Y0D1V4^ ^KyuctFav sSxoJfPt]wUaLrgeG GLyLpCf.h D jAKl^lL XrUiwgjhItisB HrleusIetrXvFejd_.q C YMraAdteS Swuipthhq QIKnbfHiZnwi[tCeI iALl[gOesbsrVaz M2O.
Use a calculator to approximate each to the nearest thousandth.
23) log 7 3
24) log 3 58
0.565
25) log 6 26
3.696
26) log 6 14
1.818
27) log 2 45
1.473
28) log 6
0.778
5.492
Without a calculator, use the following values to complete the problems that follow:
log 4 5 = 1.161 and log 4 40 = 2.661
29) log 4 8
30) log 4 200
1.5
31) log 4 25
3.822
32) log 4 20
2.322
33) log 4 100
2.161
34) log 4
3.322
1
8
-1.5
35) log 4 1 + log 4 1600
36) log 4 35 - log 4 7
5.322
1.161
Worksheet by Kuta Software LLC
-3-
©R t2N0f1n4F nKQujtvaY VSzo[fltJw\aerOeh RL\LxCZ.D a aAulalH ArRidgThTtZsE urreJsye]ravceCdI.S F CMgaWdOec Lwei\tChd ^IznRfPigniiztfeZ rApl]g\eMb^rnaD B2[.