Free Printable Properties of Log. Quiz

1.

Match the following:

Solve for x.

a)

$\log_2\left(x\right)=3$

1.

8

b)

$\log_{25}\left(x\right)=\frac{1}{2}$

2.

5

c)

$\log_x\left(16\right)=2$

3.

4

d)

$\log_6\left(\frac{1}{6}\right)=x$

4.

-1

e)

$\log_3\left(1\right)=x$

5.

0

2.

Rewrite the following in the form $\log\left(c\right)$ :

$\log\left(5\right)+\log\left(6\right)$

(a)

3.

Rewrite the following in the form $\log\left(c\right)$ :

$\log\left(a\right)+\log\left(b\right)+\log\left(c\right)$

(a)

4.

Match the following:

Rewrite the following in the form $\log\left(c\right)$

a)

$2\log\left(5\right)$

1.

log(25)

b)

$\log\left(5\right)+\log\left(4\right)$

2.

log(20)

c)

$\log\left(35\right)-\log\left(7\right)$

3.

log(5)

d)

$3\log\left(4\right)$

4.

log(64)

e)

$\log\left(4\right)-\log\left(16\right)$

5.

log(.25)

5.

Expand

a)

6log₈v-2log₈u

b)

6log₈u-2log₈v

c)

3log₈u-2log₈v

d)

6log₈u+2log₈v

6.

Expand

a)

log₈x+log₈y+log₈z

b)

5log₈x+5log₈y+5log₈z

c)

log₈xy+5log₈z

d)

log₈x+log₈y+5log₈z

7.

Condense

a)

A

b)

B

c)

C

d)

D

8.

Condense

a)

A

b)

B

c)

C

d)

D

9.

$4\log_4u-6\log_4v$ Condense

a)

$\log_4\left(\frac{u}{v}\right)^{24}$

b)

$\log_4\left(\frac{u^6}{v^4}\right)^{ }$

c)

$\log_4\left(\frac{u^4}{v^6}\right)^{ }$

d)

$\log_4\left(\frac{v^6}{u^4}\right)^{24}$

10.

Expand $\log_4\left(x^5y^2\right)$

a)

$10\log_4\left(x\ +y\right)$ 1

b)

$5\log_4x+2\log_4y$

c)

$5\log_9x+2\log_9y$

d)

$\log_4\left(5x+2y\right)$

Properties of Log. Quiz

Total questions: 10

Worksheet time: 3hrs 30mins

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