Logs for Cupcakes

The Basics

100

What are the things we've been studying called?

Logarithms

200

The inverse of a log?

What is an exponential function.

300

The log_b(xy) = ?

What is log_b(x) + log_b(y)

400

The log_b(M^k) equals?

What is klog_b(M)

500

The log_b(M)=log_b(N) if and only if?

What is M=N

Level 1

100

log₂(4)=?

What is 2

200

Solve for x

Log₃(x)= 4

What is x=81

300

Solve for x

Log₂₅(x)= 1/2

What is x=5

400

Solve for x

Log(x)= -1

What is x= 1/10

500

Evaluate

log(-10)=?

What is undfined

Level 2

100

Evaluate

log₃(32)=

What is 3.155

200

Evaluate

log₃(64)=

What is 3.786

300

Evaluate

log₃(2)=

What is 0.631

400

Solve

2^t-3 =8

What is t=6

500

Solve

log(x+6)-2=0

What is x=94

Level 3

100

Solve

log₃(2x+5)= log₃(7)

What is x= 1

200

Solve

5^x=3125

What is x=5

300

Expand

log(5x²/y⁶)

What is log(5)+2log(x)-6log(2)

400

Write as a single log

Condense 3log(x)-log(5)

What is log(x³/5)

500

Evaluate

log₂(48) = log₂(27)

What is NO SOLUTIONS.

Common Sense

100

Who wrote Common Sense?

Thomas Paine

200

The base of a common log?

What is 10

300

What is your name?

It is Arthur, King of the Britons!

400

What is your quest?

To seek the Holy Grail!

500

What is the average air speed velocity of an unladen swallow?

What do you mean? African or European?