WorksheetsConverting Logarithmic and Exponential Forms
Total questions: 18
Worksheet time: 7mins
Name
Class
Date
1.
Rewrite log28 = 3 in exponential form
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
2.
Rewrite the equation into logarithmic form:
62 = 36
62 = 36
a)
log6 2 = 36
b)
log6 36 = 2
c)
ln 36 = 2
d)
636 = 2
3.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
4.
Write in logarithmic form
2-4 = 1/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
5.
To evaluate a logarithm statement log981, you think "9 to what power is 81".
a)
True, and it's 2
b)
False
6.
Evaluate the log by thinking " 3 to what power is 1/9" so
log3(1/9) =
a)
1/2
b)
2
c)
-2
d)
3
7.
Evaluate by thinking 4 to what power is 16, so
log416
a)
2
b)
4
c)
1/2
d)
-2
8.
True or False: log₈64=2
a)
True
b)
False
9.
Evaluate log8 8 by thinking 8 to what power is 8, so the answer is
a)
8
b)
-1
c)
0
d)
1
10.
Evaluate logb(b)
a)
-1
b)
0
c)
1
d)
b
11.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
12.
log525 = ?
a)
2
b)
5
c)
125
13.
Re-write in log form 26=64
a)
log26=64
b)
log264=6
c)
log642=6
d)
log646=2
14.
Re-write in exponential form log5625=4
a)
5625=4
b)
54=625
c)
45=625
d)
42=16
15.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
16.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
17.
Rewrite in logarithmic form. 70=1
a)
log07=1
b)
log70=1
c)
log71=0
d)
log17=0
18.
The base of common log is 10. So log 100 = ?
a)
1
b)
2
c)
10
d)
50
100 %
