NEW
Font size
S
M
L
XL
WorksheetsLog Number
Total questions: 29
Worksheet time: 30mins
Name
Class
Date
1.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
2.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
3.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
4.
Evaluate.
a)
A
b)
B
c)
C
d)
D
5.
Describe the transformations of f(x)= -log2(x+1)
a)
left one & y-axis reflection
b)
right one & y-axis reflection
c)
left one & x-axis reflection
d)
right one & x-axis reflection
6.
Solve:
log (4x − 5) = log (2x − 1)
log (4x − 5) = log (2x − 1)
a)
0
b)
1
c)
2
d)
3
7.
ln e5=
a)
e5
b)
ln 5
c)
5
d)
5e
8.
log41 =
a)
0
b)
1
c)
4
d)
DNE
9.
log (-1) =
a)
0.1
b)
.01
c)
all real numbers
d)
does not exist
10.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
11.
log381 =
a)
2
b)
3
c)
4
d)
5
12.
Domain of y = log x ?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[0, ∞)
d)
[-∞, ∞]
13.
Expand the logarithm
log10 7x
log10 7x
a)
(log10 7)(log10 x)
b)
log10 7 + log10 x
c)
7log10 x
d)
xlog10 7
14.
Expand the logarithm
log2 2xy2
log2 2xy2
a)
2log2 2 + 2log2 x + 2log2 y
b)
log2 2 + log2 x + 2log2 y
c)
log2 2 - log2 x - 2log2 y
15.
Expand the logarithm
log7 x3/y4
log7 x3/y4
a)
log7 x3 - log7 y4
b)
log7 x3 + log7 y4
c)
3log7 x - 4log7 y
d)
(3log7 x) / (4log7 y)
16.
Express as a single logarithm:
5log 2
5log 2
a)
log 10
b)
log 7
c)
log (5/2)
d)
log 32
17.
Express as a single logarithm:
log3 27 - log3 9
log3 27 - log3 9
a)
log3 243
b)
log3 3
c)
log3 18
d)
log3 36
18.
Evaluate log 0.001
a)
-2
b)
-3
c)
1/3
d)
10
19.
Evaluate log7 343
a)
3
b)
49
c)
7
d)
1
20.
Pick the equation that matches the graph
a)
A
b)
B
c)
C
d)
D
21.
Describe the transformations of f(x)= -log2(x+1)
a)
left 1
b)
left one & over the y-axis
c)
left one & over the x-axis
d)
right one & over the x axis
22.
Expand the logarithm
log7 x3/y4
log7 x3/y4
a)
log7 x3 - log7 y4
b)
log7 x3 + log7 y4
c)
3log7 x - 4log7 y
d)
(3log7 x) / (4log7 y)
23.
Expand the logarithm
log2 2xy2
log2 2xy2
a)
2log2 2 + 2log2 x + 2log2 y
b)
log2 2 + log2 x + 2log2 y
c)
log2 2 - log2 x - 2log2 y
24.
Expand the logarithm
log10 7x
log10 7x
a)
(log10 7)(log10 x)
b)
log10 7 + log10 x
c)
7log10 x
d)
xlog10 7
25.
Express as a single logarithm:
log5 2 - 2log5 y
log5 2 - 2log5 y
a)
log5 (2/y2)
b)
log5 (2/2y)
c)
log5 (1/y)
d)
log5 (2y2)
26.
Express as a single logarithm:
5log 2
5log 2
a)
log 10
b)
log 7
c)
log (5/2)
d)
log 32
27.
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
28.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
29.
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)
Reset
