Exponential/Logarithm Test Review Game

Logs!

100

Simplify the expression: log₂ 8

What is 3?

200

Write the equation log₃ 729 = 6 in exponential form.

What is 3⁶=729 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 10³=1000 ?

400

Log₈16

What is x = 4/3 ?

500

 Log_7root3(1/7) 

What is x= -1/3 ?

Exponential EQ's not requiring logs

100

Write the exponential equation 4⁵= 1,024 in logarithmic form.

What is log₄ 1,024 = 5 ?

200

Write the exponential equation  27 ^1/3 = 3 in logarithmic form.

What is log₂₇ 3 = 1/3 ?

300

Solve for x: 2^{3x - 1}  = 2¹⁴

What is x = 5

400

Solve for x : 3^2x-5 = 1/9 

What is x = 3/2?

500

Solve for x : 

 7 - 2^(-x) = 5 

What is x = -1?

Expanding and condensing logs

100

Expand  

Log_6(ab^3)

What is log₆a + 3log₆b?

200

Condense :

5log_7(11) - log_7(8)

 

What is 

log_7(11^5/8)

300

Expand.    Log_3(z^4x)   

What is

4log_3(z) + log_3(x)

 

400

Expand

Log_8(x^3y)^2

What is

6log_8x + 2log_8y

 ?

500

Condense

(log_5(x) + log_5(y)+ Log_5(z))/2

What is  

Log_5(sqrt(xyz)

Solving Exponential EQ's requiring logs

100

Solve for x and give answer to 3 decimal places

3^x = 24

What is x=2.893?

200

Solve for x and give answer to 3 decimal places

2( 5^x) = 81

What is x=2.300 ?

300

Solve for x and give answer to 3 decimal places

6^(5x) = 3000

What is x=.894?

400

Solve for x and give answer to 3 decimal places

3^(x/3) = 8

What is x= 5.678 ?

500

Solve for x and give answer to 2 decimal places

10^{2x + 1} + 2 = 4 

What is x = -0.35 ?

Solving Log EQ's

100

Solve: log x = 3

What is 1000?

200

log₃ x = 5

What is x = 243 ?

300

Solve: log 5 + log x = 2 

What is x= 20 ?

400

Solve for x:   Log x - log 4 = 1

What is x= 40 ?

500

Solve for x . Be sure to check for extraneous solutions

Log_4(2x +1) - Log_4(x -2) = 1

                                   

    

What is x = 9/2  or 4.5