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Module 4 Exercise 5

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

Solve for x.


 log34x=log320\log_34x=\log_320  

a)

-5

b)

5

c)

-1/5

d)

1/5

2.

Solve for x.


 log2(x3)+log2x=2\log_2\left(x-3\right)+\log_2x=2  

a)

1

b)

4

c)

-1, 4

d)

-4, 1

3.

Solve for x.


 log5x=2\log5x=2  

a)

10

b)

20

c)

50

d)

100

4.

Solve for x.


 logx+log(x7)=log30\log x+\log\left(x-7\right)=\log30  

a)

-3, 10

b)

-10, 3

c)

3

d)

10

5.

Solve for x.


 log2(3x)log2(x+2)=2\log_2\left(3-x\right)-\log_2\left(x+2\right)=2  

a)

-1

b)

0

c)

1

d)

No solution

6.

Solve for x.


 logxlog(x4)=log3\log x-\log\left(x-4\right)=\log3  

a)

1

b)

3

c)

6

d)

1,3

7.

Solve for x.


 ln(x2)+ln(x+4)=lnx+ln(x+1)\ln\left(x-2\right)+\ln\left(x+4\right)=\ln x+\ln\left(x+1\right)  

a)

e

b)

3

c)

8

d)

No solution

8.

Solve for x.


 log2(log42x)=1\log_2\left(\log_42x\right)=1  

a)

2

b)

4

c)

6

d)

8

9.

Solve for x.


 ln(2logx)=0\ln\left(2\log x\right)=0  

a)

 e\sqrt{e}  

b)

 10e210^{\frac{e}{2}}  

c)

 1102\frac{1}{10^2}  

d)

 10\sqrt{10}  

10.

Solve for x.


 lnex3=12\ln e^{\sqrt{x-3}}=\frac{1}{2}  

a)

 14\frac{1}{4}  

b)

 134\frac{13}{4}  

c)

 ln 12\ln\ \frac{1}{2}  

d)

 (ln 12)2+3\left(\ln\ \frac{1}{2}\right)^2+3