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Worksheet by Kuta Software LLC

Algebra 2 w/Support

Review - Intro to Logarithms

Name___________________________________

Date________________ Period____©a N2^0H1Z8S UKSuSthaI mSzoZfwtTwnaXrHeH ZLMLuCD.s [ ]AXlqlr RriiUg`h\tksv \rTe_sXeIrMvOexdN.

-1-

Rewrite each equation in exponential form.

1) log13

1 = 0 2) log n 122 = m

3) log8

64 = 2 4) log20m = n

Rewrite each equation in logarithmic form.

5) 73 = 343 6) 92

= 81

7) a4 = 199 8) 15

2 = 225

Evaluate each expression.

9) log3

110) log

6

1

36

11) log32

2 12) log6

216

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Worksheet by Kuta Software LLC

-2-

Expand each logarithm.

13) log6u2 14) log

2(x × y)

15) log5

xy

16) log3u5

17) log3

(a × b × c)18) log

9

x6

y

Condense each expression to a single logarithm.

19) 2 log3a 20) 4 log

7x

21) log3u - log

3v 22) log

7a + log

7b

23) 4 log7x - log

7y 24) log

5x + 4 log

5y

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Worksheet by Kuta Software LLC

Algebra 2 w/Support

Review - Intro to Logarithms

Name___________________________________

Date________________ Period____©Q o2B0s1L8L QK[u\t`aM lSyocfetUwIaaraeW XLhLBCA.c v NAFlnly ^rMiQgPhotpsH Sr\eZs[eErYvvecdm.

-1-

Rewrite each equation in exponential form.

1) log13

1 = 0

130 = 1

2) log n 122 = m

nm = 122

3) log8

64 = 2

82 = 64

4) log20m = n

20n = m

Rewrite each equation in logarithmic form.

5) 73 = 343

log7

343 = 3

6) 92 = 81

log9

81 = 2

7) a4 = 199

log a 199 = 4

8) 152 = 225

log15

225 = 2

Evaluate each expression.

9) log3

1

0

10) log6

1

36

-2

11) log32

2

1

5

12) log6

216

3

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Worksheet by Kuta Software LLC

-2-

Expand each logarithm.

13) log6u2

2 log6u

14) log2

(x × y)

log2x + log

2y

15) log5

xy

log5x - log

5y

16) log3u5

5 log3u

17) log3

(a × b × c)

log3a + log

3b + log

3c

18) log9

x6

y

6 log9x - log

9y

Condense each expression to a single logarithm.

19) 2 log3a

log3a2

20) 4 log7x

log7x4

21) log3u - log

3v

log3

uv

22) log7a + log

7b

log7ba

23) 4 log7x - log

7y

log7

x4

y

24) log5x + 4 log

5y

log5

(xy4)