Free Printable Pop Quiz 1 Lesson 3.4 Gr 11

1.

Expand: $\log_63x$

a)

$\log_63\ +\ \log_6x$

b)

$\log_63-\log_6x$

c)

$3\log_6x$

d)

$x\log_63$

2.

Expand: $\log_2\ \frac{5}{x}$

a)

$\log_25\ +\ \log_2x$

b)

$\log_2x-\log_25$

c)

$\log_25-\log_2x$

d)

$5\log_2x$

3.

Expand: $\log_7\ y^8$

a)

$\log_7y\ +\ \log_78$

b)

$\log_7y-\log_78$

c)

$8\log_7y$

d)

$\log_78+\log_7y$

4.

Expand: $\log_9\sqrt{23}$

a)

$\frac{1}{2}\log_923$

b)

$\log_9\left(\frac{1}{2}\right)-\log_923$

c)

$\log_9\sqrt{2}+\log_9\sqrt{3}$

d)

$\log_9\ \left(\frac{1}{2}\right)+\log_923$

5.

Expand: $\log x^3y^7$

a)

$3\log x+7\log y$

b)

$10\log xy$

c)

$3\log x-7\log y$

d)

$\log x^3+\log y^7$

6.

Expand: $\log\ 8h^2$

a)

$\log64+\log\ h$

b)

$\log8+2\log h$

c)

$\log16+\log h$

d)

$2\log8+\log h$

7.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

8.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

9.

Solve 3³ = 3^{4x + 2}

a)

x = ¼

b)

x = -¼

c)

x = ½

d)

x = -½

10.

Solve for p:
4^p+2 = 64

a)

p = -16/9

b)

p = 1

c)

p = 8

d)

p = 7/6

11.

2³ⁿ = 4

a)

2

b)

3

c)

2/3

d)

4

12.

Solve. $5^{3-2x}=5^{-x}$

a)

$-3$

b)

$1$

c)

$\frac{1}{3}$

d)

$3$

13.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

14.

Solve for x:
3^2x = 27^{x - 4}

a)

x = 12

b)

x = 4

c)

x = -4

d)

x = 1

15.

Solve for x:
9^x+8= 81

a)

2

b)

-6

c)

6

d)

8

16.

81^3-x = (1/3)^5x-6

a)

6

b)

-6

c)

9/2

d)

3/2

17.

Solve for x:
(1/8)^x = 2³

a)

x=−3

b)

x=3

c)

x=−1

d)

x=1

18.

10^2x+4 =100000

a)

x=7

b)

x=20

c)

x=-1/2

d)

x=1/2

19.

2^-m = 2^3m-3

a)

4/3

b)

3/4

c)

2

d)

1

20.

Solve the following exponential equation:
$2^x=4^{x+1}$

a)

$x=-2$

b)

$x=2$

c)

$x=-3$

d)

$x=3$

21.

How would you solve an exponential equation like the one below:

36=6^x

a)

Rewrite $36$ as $6^2$

b)

Set the exponents equal to each other

c)

Rewrite $36$ as $6^3$

d)

Multiply the exponents

22.

How would you solve an exponential equation like the one below:
$4^{2x-3}=4^{6x+5}$

a)

Rewrite $4$ as $2^2$

b)

Multiply the exponents

c)

Set the exponents equal to each other

d)

Add the exponents

23.

How would you solve an exponential equation like the one below:
$3^{x+7}=27^{-3x-1}$

a)

Rewrite $27$ as $3^3$

b)

Multiply the exponents

c)

Set the exponents equal to each other

d)

Add the exponents

24.

Solve the following exponential equation:
$\left(\frac{1}{2}\right)^{2x}=4^3$

a)

$x=3$

b)

$x=-\frac{5}{2}$

c)

$x=-3$

d)

$x=\frac{5}{2}$

25.

8^3x+3 = 8⁶

a)

x=28

b)

x=3

c)

x=1

d)

x=12

Pop Quiz 1 Lesson 3.4 Gr 11

Total questions: 25

Worksheet time: 2hrs 38mins

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