Free Printable Logarithms QUIZ #2 Expand, Condense, Solve Log Equations

1.

Solve $\log_2\left(x+8\right)=\log_264$

a)

x=16

b)

x=24

c)

x=56

d)

x=40

2.

Solve $\log_8\left(3x+7\right)=\log_8\left(7x+4\right)$

a)

$x=\frac{3}{4}$

b)

$x=3$

c)

$x=6$

d)

$x=\frac{4}{3}$

3.

Solve log₂(2x - 3) = log₂(4x + 5)

a)

4

b)

-4

c)

-.33

d)

.33

4.

Solve: $\log_7\left(28+3r\right)=\log_7\left(10r\right)$

a)

4

b)

7

c)

20

d)

28

5.

Solve $\log_9\left(3u+14\right)-\log_95=\log_92u$

a)

u=4

b)

u=6

c)

u=2

d)

u=1

6.

Condense into a single log:

\log_65+\log_62-\log_63

a)

$\log_67$

b)

$\log_64$

c)

$\log_6\frac{10}{3}$

7.

Expand

a)

A

b)

B

c)

C

d)

D

8.

Condense $3\log_{ }x+4\log_{ }y\ +\log_{ }z$

a)

$\log_{ }\ x^3y^4z$

b)

$12\log_{ }\ xyz$

c)

$\log_{ }\ 3x4yz$

d)

logx³y³z³

9.

Expand

a)

$6\log_4\ u-36\log_4\ v$

b)

$\log_4\ u-6\log_4\ v$

c)

$6\log_4\ u+36\log_4\ v$

d)

$6\log_4\ u\ \div36\log_4\ v$

10.

Choose the correct expanded common logarithm:

$\log(4x)$

a)

$\log4-\log x$

b)

$\log4+\log x$

c)

$4\log x$

d)

$x\log4$

11.

Choose the correct expanded common logarithm:

$\log\left(\frac{x}{y}\right)$

a)

$\log x+\log y$

b)

$x\log y$

c)

$\log(x-y)$

d)

$\log x-\log y$

12.

Choose the correct expanded common logarithm:

$\log(xy^2)$

a)

$\log x+2\log y$

b)

$\log x+\log y^2$

c)

$\log x-2\log y$

d)

$\log x+\log y+\log2$

13.

$6\ +\ \log_2\ x\ =\ 6$

a)

9

b)

$\frac{1}{10}$

c)

1

d)

121

14.

-10log₂x + 8 = -12

a)

8

b)

12

c)

1296

d)

4

15.

$\log_9\left(r-8\right)\ =\ 2$

a)

55

b)

$\frac{11}{6}$

c)

89

d)

6

16.

$5\log_6\ \left(-5k\ -\ 9\right)\ +\ 2\ =\ 17$

a)

$-\frac{6571}{9}$

b)

-45

c)

$\frac{1}{5}$

d)

$\frac{3}{10}$

17.

Solve log(x) + log(x+3) = 1

a)

5

b)

-2

c)

-5

d)

2

Logarithms QUIZ #2 Expand, Condense, Solve Log Equations

Total questions: 17

Worksheet time: 33mins

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