wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

QUIZ 16.1

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Expand the Log completely and simplify if possible.  log(x4y)\log_{ }\left(\frac{x^4}{y}\right)  

a)

 4logx  log y4\log x\ -\ \log\ y 

b)

 log x4 log y\log\ x^{4\ }-\log\ y  

c)

 log x4y\log\ x^4-y   

d)

 4log xy4\log\ x-y  

2.

Expand the Log completely and simplify if possible.  log(x2y4)\log_{ }\left(x^2y^4\right)  

a)

 2logx + 4log y2\log x\ +\ 4\log\ y 

b)

 log x2 +log y4\log\ x^{2\ }+\log\ y^4  

c)

 log x2+y4\log\ x^2+y^4   

d)

 8log x+y8\log\ x+y  

3.

Expand the Log completely and simplify if possible.  log(xz5y)\log_{ }\left(\frac{\sqrt{x}}{z^5y}\right)  

a)

 12logx 5logzlogy\frac{1}{2}\log x\ -5\log z-\log y 

b)

 log x12 log z5+log y\log\ x^{\frac{1}{2}\ }-\log\ z^5+\log\ y  

c)

 log xlogz5+y\log\ \sqrt{x}-\log z^5+y^{ }   

d)

 10log xz+y10\log\ x-z+y  

4.

Expand the Log completely and simplify if possible.  log8x3\log_{ }8x^3  

a)

 log8 +3logx\log8\ +3\log x 

b)

 log 8+log x3\log\ 8+\log\ x^3  

c)

 .9+3logx.9+3\log x   

d)

 3log8x3\log8x  

5.

Expand the Log completely and simplify if possible.  log(xyz)4\log\left(xyz\right)^4  

a)

 4logx +4logy+4logz4\log x\ +4\log y+4\log z 

b)

 4log xyz4\log\ xyz  

c)

 4log x+y+z4\log\ x+y+z   

d)

 4log x+logy+logz4\log\ x+\log y+\log z  

6.

Condense the Log completely and simplify if possible.  2log3 xlog3 y2\log_3\ x-\log_3\ y  

a)

 log3 x2y\log_3\ \frac{x^2}{y} 

b)

 log3 2xy\log_3\ \frac{2x}{y}  

c)

 3log2xy3\log_{ }2x-y   

d)

 3 log x2y3\ \log\ \frac{x^2}{y}  

7.

Condense the Log completely and simplify if possible.  7logx+ylogz7\log x+y\log z  

a)

 logx7zy\log x^7z^y 

b)

 log x7+log zy\log\ x^7+\log\ z^y  

c)

 7y logx+z7y\ \log x+z   

d)

 log7x+yz\log7x+yz  

8.

Condense the Log completely and simplify if possible.  2logb 92\log_b\ 9  

a)

 logb 81\log_b\ 81 

b)

 logb92\log_b9^2  

c)

 2logb92\log_b9   

d)

 logb18\log_b18  

9.

Condense the Log completely and simplify if possible.  2logb 8logb 42\log_b\ 8-\log_b\ 4  

a)

 logb 16\log_b\ 16 

b)

 logb 644\log_b\ \frac{64}{4}  

c)

 logb82logb 4\log_b8^2-\log_b\ 4   

d)

 logb4\log_b4  

10.

Condense the Log completely and simplify if possible.  logb 6+2logb 2\log_b\ 6+2\log_b\ 2  

a)

 logb 24\log_b\ 24 

b)

 logb 10\log_b\ 10  

c)

 logb72\log_b72   

d)

 logb144\log_b144