Exponential/Logarithm Test Review Game

Logs!

100

Simplify the expression: log₂8

What is 3?

200

Write the equation 

log ₃ 729 = 6  in exponential form.

What is 3^6=729 ?

300

Write the equation

 log 1000 = 3 in exponential form.

What is 10³=1000 ?

400

What is the vertical asymptote of the graph of f(x) = log(x ) ?

What is x=0 ?

500

Solve log₂(x-5)=4

What is x= 21 ?

Exponential EQ's

100

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

What is log₄1,024 = 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

Expand:  Ln(x²y³z^1/2)

2lnx + 3lny +1/2lnz

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 increase 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 increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

300

Use the formula A=Pe^rt to find out how many years it will take a $1000 investment to grow to $25000 in an account earning 12.5% compounded continuously.

25.75 years

400

Use the formula A=P(1 + r/n)^nt  to figure out how long it will take for a $300 investment to grow to $750 in an account earning 3.5% compounded monthly.

about 26 years

500

Use the formula A=A_oe^-.000124t and carbon-14 dating to estimate how long it took for a Sabertooth Tiger to decompose with only 1.5% of the matter remaining?

33869 years

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: e^2x=e^x+4

What is x=4?

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 ?

Solving Log EQ's

100

Solve: log x = 3

What is 1000?

200

log₃ x = 5

What is x = 243 ?

300

Solve: ln x = 4 Round your answer to two decimal places.

What is x= 54.60 ?

400

Solve: 3 ln x - 7 = 4 Round your answer to two decimal places.

What is x= 39.12 ?

500

Solve: 2log₃(x - 4)=8

What is x=85