Exponential/Logarithm Test Review Game

Logs expressions

100

Simplify the expression: log₂ 8

What is 3?

200

Write the equation log₃ 729 = 6 in exponential form.

What is 3^6=729 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 10^3=1000 ?

400

Expand log₂(7xy²). Hint: Count the number of bases

What is log₂7 + log₂x + 2log₂y 

500

Solve: log₅(x+4) = 2

What is x= 21?

Exponential EQ's

100

Write the exponential equation 4^5= 1,024 in logarithmic form.

What is log (base 4) 1,024 = 5 ?

200

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

What is log₂₇ 3 = 1/3 ?

300

Write the exponential equation (1/2)^-3=8 in logarithmic form.

What is log (base 1/2) 8 = -3

400

Condense. log(m) + log(n) = 

What is log(mn)?

500

2^x+6 = 16

what is x= -2?

Log/exponential Facts

100

What is log_b1 equal to?

What is 0?

200

what is b⁰ equal to?

What is 1?

300

Solve 6^log₆⁴⁵

What is 45?

400

Solve 4^2x=2^x+1

What is x=1/3?

500

True or False. log(0) is undefined

What is True

Solving Exponential EQ's

100

Solve: 8^2x=8^x+7

What is x=7?

200

Solve: 25^x-4=5^3x+1

What is x=-9 ?

300

Solve: 2^x =17

What is x=.929?

400

Solve: 5^x = 15 Round your answer to three decimal places.

What is x= 1.683 ?

500

Solve: 10^(2x+1) = 2 Round your answer to two decimal places.

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: log₂(x) - log₂(3)= 4

What is x= 48 ?

400

Solve: log₃ (x+1)= -2

What is x= -8/9 ?

500

Solve log₄(x+6) = log₄(4x-12)

What is x=6?