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WorksheetsExponential to Logarithmic Forms and Change
Total questions: 15
Worksheet time: 25mins
Name
Class
Date
1.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
2.
Rewrite in exponential form:
log3(9)=2.
a)
39=2
b)
32=9
c)
x2=9
d)
3x=2
3.
Rewrite the equation into logarithmic form:
62 = 36
a)
log6 2 = 36
b)
log6 36 = 2
c)
ln 36 = 2
d)
636 = 2
4.
Change to Logarithmic Form:
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
5.
How are exponential and logarithmic functions related?
a)
Opposites
b)
Inverses
c)
Cousins
d)
Reciprocals
6.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
7.
Write log2 0.25 = -2 in exponential form
a)
-22 = 0.25
b)
-20.25 = 2
c)
2-2 = 0.25
d)
No correct answer
8.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
9.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
10.
Write the exponential equation as a logarithm
63=216
63=216
a)
log6(3) = 216
b)
log3(6) = 216
c)
log6(216)=3
d)
log216(6)=3
11.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
12.
Rewrite ln7 = x in exponential form
a)
ex=7
b)
lnx= 7
c)
e7= x
d)
10x=7
13.
rewrite log 1000 = 3 in exponential form
a)
101000=3
b)
e3=1000
c)
log3=1000
d)
103=1000
14.
Write e4= 17 in logarithmic form
a)
log17=e
b)
ln4=17
c)
ln17=4
d)
loge=4
15.
Write log14= x
a)
10x = 14
b)
10x= 14
c)
1014= x
d)
140= x
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