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10.10 Solve using Common Logs and Change of Base

Total questions: 14

Worksheet time: 21mins

Name
Class
Date
1.

6x=406^x=40  

a)

0.4857

b)

6.6667

c)

2.0588

d)

4.3032

2.

2.1(x+2)=8.252.1^{\left(x+2\right)}=8.25  

a)

0.8442

b)

2.8442

c)

4.8442

d)

6.8442

3.

7(x2)=20.427^{\left(x^2\right)}=20.42  

a)

1.5502

b)

-1.2451

c)

±1.2451\pm1.2451  

d)

2.4031

4.

8x=408^x=40  

a)

1.5637

b)

0.5637

c)

2.7740

d)

1.7740

5.

5x=555^x=55  

a)

2.4899

b)

0.4899

c)

1.4899

d)

-0.4899

6.

2.9(x4)=8.12.9^{\left(x-4\right)}=8.1  

a)

1.9647

b)

0.5090

c)

-2.0353

d)

5.9647

7.

4(x+2)=14.54^{\left(x+2\right)}=14.5  

a)

3.9290

b)

1.9290

c)

-0.0710

d)

0.0710

8.
Using the change of base rule, what is this logarithm equivalent to?
a)
A
b)
B
c)
C
d)
D
9.
Using the change of base rule, what is this logarithm equivalent to?
a)
A
b)
B
c)
C
d)
D
10.

Solve the log by using change of base )

log432

a)

8

b)

5/2

c)

2/5

d)

3/2

11.

Use the change of base rule to rewrite this problem:

log575

a)

log(75)/log(5)

b)

log(5)/log(75)

12.

Use the change of base rule to rewrite this problem:

log364

a)

log(64)/log(3)

b)

log(3)/log(64)

13.

Use the change of base rule to rewrite this problem:

log7729

a)

log(7)/log(729)

b)

log(729)/log(7)

14.

Use the change of base rule to rewrite this problem:

log6216

a)

log(6)/log(216)

b)

log(216)/log(6)