Exponential/Logarithms Jeopardy!

Logs!

100

Write the equation log₃729 = 6 in exponential form.

What is 3⁶=729 ?

200

Write the equation log 1000 = 3 in exponential form.

What is 10³=1000 ?

300

What is the asymptote of the graph of f(x) = log(x - 1) ?

You may use your calculator!

What is x=1 ?

400

What is the asymptote of the graph of f(x)= log(x + 2) -1 ?

You may use your calculator.

What is x= -2 ?

Exponentials!

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 log₂₇3 = 1/3 ?

300

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

What is log_1/28 = -3

400

Simplify lne²

What is 2?

Properties of Logarithms

100

Rewrite the expression using properties of logarithms.

log₂14+log₂8

What is log₂112?

200

Expand the given logarithm.  

log₅(10/2)

What is log₅10-log₅2?

300

What is the name of the rule that was used below?

log₃(36)² = 2log₃(36)

What is the power rule?

400

Solve the equation using logarithmic properties.

log₃x - log₃2 = 6

What is 1458?

Exponential Equations

100

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

What is x=-9 ?

200

Solve: e^2x=e^x+4

What is x=4?

300

Solve: 3e^(3-x)= 15 

Round your answer to two decimal places.

What is x= 1.39 ?

400

Solve: 10^2x+1 + 2 = 4 Round your answer to two decimal places.

What is x = -0.35 ?

Log Equations

100

Solve: log x = 3

What is 1000?

200

log₃x = 5

What is x = 243 ?

300

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

What is x= 54.60 ?

400

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

What is x= 39.12 ?