Kuta Software - Infinite Algebra 2
Name___________________________________
The Meaning Of Logarithms
Date________________ Period____
Rewrite each equation in exponential form.
1) log 6 36 = 2
1
= −2
196
3) log 14
2) log 289 17 =
1
2
4) log 3 81 = 4
Rewrite each equation in logarithmic form.
6) 12 2 = 144
1
2
5) 64 = 8
1
81
7) 9 −2 =
( )
1
8)
12
2
=
1
144
Rewrite each equation in exponential form.
15
=v
16
10) log v u = 4
11) log 7 x = y
12) log 2 v = u
9) log u
4
13) log u v = −16
14) log y x = −8
Rewrite each equation in logarithmic form.
15) u
−14
=v
©P U2P0Q1K27 nKHuOt7ap cSTosfEtYwyahree3 wLPLnCk.i F uAmlRl9 6rIiEgGhutvsJ 3r9e2sqemrTvGehdh.8 B KMbaHdHed 0wLiDtrhn eIvn6fTi3nviJtNeC zAal0gaebbLrcaY A2T.v
b
16) 8 = a
-1-
Worksheet by Kuta Software LLC
17)
()
1
5
x
y
=y
19) 9 y = x
18) 6 = x
a
20) b = 123
Evaluate each expression.
21) log 4 64
23) log 4 16
22) log 6 216
24) log 3
1
243
25) log 5 125
26) log 2 4
27) log 343 7
28) log 2 16
29) log 64 4
30) log 6
1
216
Simplify each expression.
31) 12
33) x
log 12 144
log x 72
©M d2Y0Z1v2u jKGu3tFab vSLocfftJwAamrDeP XLmLiCt.4 W GAQlKla 4rJiog5hvt0sc erpecsNeSrlvEeOdt.N n 9MvaQdner gwyiEtRhn vISnufMiTnii8tmeC yA4lQgSeCbrrZaK X2b.u
32) 5
34) 9
-2-
log 5 17
log 3 20
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
The Meaning Of Logarithms
Date________________ Period____
Rewrite each equation in exponential form.
1) log 6 36 = 2
2) log 289 17 =
2
1
2
6 = 36
1
2
289 = 17
1
= −2
196
3) log 14
14
−2
=
4) log 3 81 = 4
4
3 = 81
1
196
Rewrite each equation in logarithmic form.
6) 12 2 = 144
1
2
5) 64 = 8
log 64
log 12 144 = 2
1
8=
2
1
81
1
log 9
= −2
81
7) 9 −2 =
( )
1
8)
12
log
2
=
1
12
1
144
1
=2
144
Rewrite each equation in exponential form.
15
=v
16
9) log u
10) log v u = 4
4
v =u
15
uv =
16
11) log 7 x = y
12) log 2 v = u
4
u
()
7
4
2 =v
y
=x
13) log u v = −16
14) log y x = −8
u −16 = v
y −8 = x
Rewrite each equation in logarithmic form.
15) u
−14
=v
b
16) 8 = a
log u v = −14
©Y i2E0Y1S2s 6KHubtXar VSzoofAtQwfaar2es ALSLrCR.N H lA8lhlq TrqiLgzhOt8sk 2raeLsde1rAvQeKdW.7 P LM7azdFeK bwRilt5hU fIHnifBi0nAiXt2eM EAKl4gse2bpr7av I2q.s
log 8 a = b
-1-
Worksheet by Kuta Software LLC
17)
()
1
5
x
y
=y
18) 6 = x
log 6 x = y
log 1 y = x
5
y
19) 9 = x
a
20) b = 123
log 9 x = y
log b 123 = a
Evaluate each expression.
21) log 4 64
22) log 6 216
3
3
23) log 4 16
24) log 3
2
1
243
−5
25) log 5 125
26) log 2 4
3
2
27) log 343 7
28) log 2 16
1
3
4
29) log 64 4
30) log 6
1
3
1
216
−3
Simplify each expression.
31) 12
log 12 144
32) 5
144
33) x
log x 72
log 5 17
17
34) 9
72
log 3 20
400
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
©J k2Q05152B TK7uttWao TSMoVfctWwhaPrzee 6L3LbCV.V K MAklelr vrUiggvhatFsj 9rSejsyeUrCv3eWdq.n P 9MAaUdSed bwMiVtdh9 9IinKfgiRnGiGtAeC dAllBgzehbAr3au q29.y
-2-
Worksheet by Kuta Software LLC