Exponential/Logarithm Test Review Game

Logs!

100

Simplify: 

log_2(8)

What is 3?

200

Write the equation ... in exponential form

log_3(729)=6 

What is 3⁶=729 ?

300

Write the equation

log (1000)=3

in exponential form.

What is 10³=1000 ?

400

Simplify: 

log_2(16)

What is x=4 ?

500

log₂₁₆(6)=1/3

What is 216^1/3 =6?

Exponential EQ's

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

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

What is log_1/2 (8) = -3

400

Is the graph

y=.7^x

increasing or decreasing, and is it a function?

What is decreasing and yes, a function?

500

Simplify ln e ^3x

What is 3x?

Word Problems

100

If there are initially 3000 bacteria in a culture, and the number of bacteria increases by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.

What is 9,155 bacteria?

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increases by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

300

Ron invested $55,000 in a nine-year CD that pays out twelve percent compounded annually.  What is the amount after fifteen years?

What is $301,046.10?

400

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 35,000,000. Round your answer to four decimal places.

What is 7.5441 ?

500

Ms. Camara wanted to buy a reliable, affordable and used car.   She has saved $5,000 to buy a car for herself and her family.   She put that money in an account that compounds yearly at an interest rate of 15%! That's crazy fast!  The car costs $15,000.  

What is about 7.8 years?  

Solving Exponential EQ's

100

Solve: 

8^(2x)=8^(x+7)

What is x=7?

200

Solve: 

25^(x-4)=5^(3x+1)

25^(x-4)=5^3x+1)

What is x=-9 ?

300

Solve: 144^(2x+1)=12^(5x-1) 

What is x=3?

400

Solve: 

3e^(3-x)=15

Round your answer to two decimal places.

What is x= 1.39 ?

500

Solve: 

10^(2x+1)+2=4

 Round your answer to two decimal places.

What is x = -0.35 ?

Log EQ's

100

Solve: log x = 3

What is 1000?

200

log₃ x = 5

What is x = 243 ?

300

log_x8=3

What is x= 2 ?

400

LOG(5X) + LOG(X - 1) = 2

x=-4

500

LOG₂(5X+7)=5

What is x=5?