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QUIZ 16.2

Total questions: 6

Worksheet time: 30mins

Name
Class
Date
1.

Solve the log equation. Round to the nearest thousandth. Don't forget to check for extraneous solutions.
 log3 5x +log3 5=3\log_3\ 5x\ +\log_3\ 5=3  

a)

x = 1.08

b)

x = .12

c)

x = 2.7

d)

x = .36

2.

Solve the log equation. Round to the nearest thousandth. Don't forget to check for extraneous solutions.
 log3 9x 2log3 3=2\log_3\ 9x\ -2\log_3\ 3=2  

a)

x = 9

b)

x = .444

c)

x = .333

d)

x = 81

3.

Solve the log equation. Round to the nearest thousandth. Don't forget to check for extraneous solutions.
 log4 (4x12) +log4 (x3)=2\log_4\ \left(4x-12\right)\ +\log_4\ \left(x-3\right)=2  

a)

x = 5

b)

x = 1

c)

x = 5 and x =1

d)

no solution

4.

Solve the exponential equation. Round to the nearest thousandth. 
 e(2x)=2e^{\left(2x\right)}=2  

a)

x = .347

b)

x = 1.386

c)

x = 3.695

5.

Solve the exponential equation. Round to the nearest thousandth. 
 45(3x)=22545\left(3^x\right)=225  

a)

x = 1.465

b)

x = 243

c)

x = 5

6.

Solve the exponential equation. Round to the nearest thousandth.
 (10x)+90=105\left(10^x\right)+90=105 

a)

x = .588

b)

x = 1.176

c)

x = 2.352