WorksheetsLogarithm Equations
Total questions: 10
Worksheet time: 10mins
Name
Class
Date
1.
Convert 6(x+2)=216 to logarithmic form
a)
log216(x+2)=6
b)
log6(x+2)=216
c)
log6(216)=x+2
d)
log(x+2)(216)=6
2.
Convert log8(x+2)=3 to exponential form.
a)
8(x+2)=3
b)
3(x+2)=8
c)
83=x+2
d)
38=x+2
3.
Convert 10(x+5)=100 to logarithmic form.
a)
log100=x+5
b)
log(x+5)=100
c)
log(100)=x+5
d)
log(x+5)(100)=10
4.
Convert 2x+6=10 to logarithmic form
a)
log4(x)=2
b)
log2(4)=x
c)
log2(10)=6
d)
log2(x)=4
5.
Evaluate the following logarithm:
log327
a)
3
b)
2
c)
-3
d)
1/3
6.
Evaluate the following logarithm:
log416
a)
1
b)
-2
c)
2
d)
1/2
7.
Evaluate the following logarithm:
log55
a)
1
b)
0
c)
-1
d)
1/2
8.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
9.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
10.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
100 %
