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Unit 7: Topic 4- Logarithmic Equations

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.
Write in exponential form.
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
2.
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
3.
Solve for x:
log4 x = 3
a)
4
b)
12
c)
32
d)
64
4.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
5.
log9(x)+log9(x+2)=log9(35)
a)
5
b)
-7
c)
5, -7
d)
-7, -13
6.
log6-4x-log65=log670
a)
149
b)
-16/3 
c)
-175/2
d)
-47/5
7.
log7+log(x2-4)=log35
a)
1, -1
b)
2, -2
c)
3, -3
d)
4, -4
8.
log2(x + 2) + log2x  = 3
a)
-4, 2
b)
-2, 4
c)
2
d)
1
9.
a)

x = 5 and x = -2

b)

x = -2

c)

x = 5

d)

x = -10 and x = 10

10.
a)

x = 21

b)

x= 49/3

c)

x = 49

d)

x = 147