WorksheetsLaw of logarithms
Total questions: 20
Worksheet time: 12mins
Name
Class
Date
1.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
2.
Write 23= 8 in logarithmic form.
a)
log2 8 = 3
b)
log2 3 = 8
c)
log3 8 = 2
d)
log3 2 = 8
3.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
4.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
5.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
6.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
7.
Evaluate logb(b)⁴
a)
1
b)
0
c)
4
d)
b
8.
Simplify log443x
a)
3x
b)
3
c)
4
d)
43x
9.
Evaluate log7 343
a)
3
b)
49
c)
7
d)
1
10.
a)
A
b)
B
c)
C
d)
D
11.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
12.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
13.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 - log59
a)
log50
b)
log556
c)
log52
d)
log598
14.
a)
log(x) + log(z) + 4log(y)
b)
3log(x) − log(z) − 4log(y)
c)
3log(x) + log(z) + 4log(y)
d)
log(x) − 4log(z) − 3log(y)
15.
Solve for x:
logx 25 = 2
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
16.
Write the logarithm expression as a single logarithm
log54 + log53
a)
log57
b)
log512
c)
log75
d)
3log54
17.
Expand the logarithm expression
log55x-5
a)
-5(log55x)
b)
-5log55 + log5x
c)
log525x
d)
log55 - 5log5x
18.
Evaluate log2√2
a)
-2
b)
2
c)
1
d)
1/2
19.
Given log121= x. Find x
a)
1
b)
0
c)
12
d)
-1
20.
(log a)(log b) = log (a+b)
a)
True
b)
False
100 %
