Free Printable A2 Logs Review activity

1.

Choose the interval for the domain of $y=\log_{\frac{1}{3}}\left(x+4\right)$

a)

$\left(4,\infty\right)$

b)

$\left(-4,\infty\right)$

c)

$\left(-\infty,4\right)$

d)

$\left(-\infty,-4\right)$

2.

Choose the interval for the domain of $y=\log_2\left(5x+30\right)$

a)

$\left(-30,\infty\right)$

b)

$\left(-5,\infty\right)$

c)

$\left(-\infty,-6\right)$

d)

$\left(-6,\infty\right)$

3.

Solve $-6\log_3\left(x-3\right)=-24$

(a)

4.

Select the correct transformations from the parent function for $3\log_2\left(x-1\right)+2$

a)

right 1, stretch 3, up 2

b)

left 1, stretch 3, up 2

c)

right 1 stretch 3, down 2

d)

left 1, stretch 3, down 2

5.

Select the correct transformations from the parent function for $2\log_2\left(x-5\right)-6$

a)

right 6, stretch 2, up 5

b)

left 5, stretch 2, up 6

c)

right 5 stretch 2, down 6

d)

left 2, stretch 5, down 6

6.

$\log_55=$

(a)

7.

$\log_981=$

(a)

8.

$\log_5\left(\frac{1}{125}\right)=$

(a)

9.

Choose the best estimate of $\log_356$

a)

3

b)

3.2

c)

3.7

d)

4

10.

Choose the best estimate of $\log_4294$

a)

3

b)

4

c)

4.1

d)

4.9

11.

What is domain of $y=\log_4\left(x-3\right)-2$

a)

$\left(-3,\infty\right)$

b)

$\left(3,\infty\right)$

c)

$\left(-2,\infty\right)$

d)

$\left(4,\infty\right)$

12.

What is range of $y=\log_4\left(x-3\right)-2$

a)

$\left(-3,\infty\right)$

b)

$\left(3,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(-2,\infty\right)$

13.

What is the asymptote of $y=\log_4\left(x-3\right)-2$

a)

$x=-2$

b)

$x=-3$

c)

$x=3$

d)

$x=2$

e)

$y=-2$

14.

What is domain of $y=\log_4\left(x+6\right)+5$

a)

$\left(-6,\infty\right)$

b)

$\left(6,\infty\right)$

c)

$\left(-5,\infty\right)$

d)

$\left(5,\infty\right)$

15.

What is range of $y=\log_4\left(x+6\right)+5$

a)

$\left(-6,\infty\right)$

b)

$\left(6,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(5,\infty\right)$

16.

What is the asymptote of $y=\log_4\left(x+6\right)+5$

a)

$x=-6$

b)

$x=5$

c)

$x=6$

d)

$x=4$

e)

$y=5$

17.

Solve $-3\log_2\left(16\right)=9x+6$

(a)

18.

Solve $-9+\log_6\left(3x-3\right)=-7$

(a)

19.

Which graph represents the function

$y=\log_2x$ ?

a)

b)

c)

d)

20.

What is the equation for the graph

a)

y=\log_{10}\left(x\right)

b)

$y=\log_5\left(x\right)$

c)

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

d)

$y=\log_5\left(-x\right)$

21.

Describe domain of the function shown: y=log₂(x+1)

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

22.

Match the graph with its equation

a)

y = log₄ (x)+2

b)

y = log₄ (x + 2) + 1

c)

y = log₄ (x - 1) + 2

d)

y = log₄ (-x + 2)

23.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

24.

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

a)

b)

c)

d)

25.

Which graph matches the logarithmic equation

a)

b)

c)

d)

26.

Describe range of the function shown: y=log₂(x+1)

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

27.

f(x)=log₅(x+4) - 2

Find the Domain and Range

a)

Domain: x ≥ -4

Range: all real numbers

b)

Domain: all real numbers

Range: y ≥ -4

c)

Domain: all real numbers

Range: y > -4

d)

Domain: x > -4

Range: all real numbers

28.

What kind of asymptotes do logs have?

a)

horizontal ( y=0)

b)

vertical (x=0)

A2 Logs Review activity

Total questions: 28

Worksheet time: 29mins

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