Free Printable Logarithm

1.

Expand

a)

A

b)

B

c)

C

d)

D

2.

Expand

a)

A

b)

B

c)

C

d)

D

3.

Condense

a)

A

b)

B

c)

C

d)

D

4.

Condense

a)

A

b)

B

c)

C

d)

D

5.

Expand

a)

log₈x + log₈y + log₈z

b)

5log₈x + 5log₈y + 5log₈z

c)

log₈xy + 5log₈z

d)

log₈x + log₈y + 5log₈z

6.

Expand

a)

5log₅ a - 6log₅b

b)

5log₅ a - 30log₅b

c)

5log₅ a + 30log₅b

d)

30log₅ b - 5log₅ a

7.

Condense

a)

log₈(x⁶)/log₈ (y³)

b)

log₈ (x⁶/y³)

c)

log₈(x/y³)

d)

log₈(x⁶y³)

8.

What would the change base look like for:
log₆ 48

a)

log 8

b)

^{log 6}/_{log 48}

c)

^{log 48}/_{log 6}

d)

ln 8

9.

Write as a single logarithm.

16 log u +4 log v

a)

log(v⁴u¹⁶)

b)

log(v⁴u⁴)

c)

log(vuw⁴)

10.

Write as a single logarithm:

log(30) - log(6)

a)

-6log(30)

b)

log(24)

c)

24

d)

log(5)

e)

5

11.

Expand the following: $\log_7\left(4x\right)$

a)

$\log_7\left(4\right)+\log_7\left(x\right)$

b)

$\log_7\left(4\right)-\log_7\left(x\right)$

c)

$\log_7\left(x^4\right)$

d)

$4\log_7\left(x\right)$

12.

$\log_nn=$ (a)

13.

Simplify the following: $\log_324-\log_36$

a)

$\log_318$

b)

$\log_3144$

c)

$\log_34$

d)

$\log12$

e)

$18\log3$

14.

$\log_{9000}1=$ (a)

15.

Expand the following: $\log\left(j^4k^7\right)$

a)

$\log\left(4j\right)+\log\left(7k\right)$

b)

$11\log\left(j+k\right)$

c)

$28\log\left(jk\right)$

d)

$4\log\left(j\right)+7\log\left(k\right)$

16.

Simplify the following: $\log_4x+\log_4x$

a)

$\log_4\left(x^2\right)$

b)

$\log_4\left(2x\right)$

c)

$\log_{16}\left(x^2\right)$

d)

$\log_8\left(2x\right)$

e)

$\log_4x$

17.

Simplify the following: $\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)$

a)

$\log_5\left(3rw\right)$

b)

$\log_5\left(3+r-w\right)$

c)

$\log_5\left(\frac{3r}{w}\right)$

d)

$\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}$

18.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

19.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

20.

Evaluate.

a)

A

b)

B

c)

C

d)

D

21.

What do cows drink?

a)

Milk

b)

Apple Juice

c)

Soda

d)

Water

22.

Evaluate:
log₄16

a)

2

b)

4

c)

1/2

d)

-2

Logarithm

Total questions: 22

Worksheet time: 34mins

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