Logarithms

Basic Info

100

What is the answer to any number raised to the power of zero?

one

200

What is the base of a log when it is not written?

ten

300

What kind of result do you get when you raise a number to a negative exponent?

fraction

400

What other math operation are logs related to?

exponents

500

What is the name of the formula that you can use to evaluate logs that don't have a base of 10 on your calculator?

change of base formula

Rewriting

100

Rewrite as an exponent:

log₄ 4096 = 6

4⁶ = 4096

200

Rewrite as an exponent:

log₅(¹/₆₂₅) = -4

5^-4 = ¹/₆₂₅

300

Rewrite as a log:

2⁵ = 32

log₂32 = 5

400

Rewrite as a log:

6^-3 = ¹/₂₁₆

log₆(¹/₂₁₆) = -3

500

Rewrite as an exponent:

log 100 = 2

10² = 100

Evaluating

100

Evaluate

log₆36

2

200

Evaluate

log₈8

1

300

Evaluate

log₃(¹/₈₁)

-4

400

Evaluate 

log₄92

3.26

500

Evaluate 

log₇28

1.71

Solve For x

100

Solve for x: 

log₉81 = x

x = 2

200

Solve for x: 

log_x729 = 3

x = 9

300

Solve for x: 

log₁₂x = -2

x = ¹/₁₄₄

400

Solve for x: 

log₄x = 0

x = 1

500

Solve for x:

log_x7 = 1

x = 7

Christmas Trivia

100

In the song, "The Twelve Days of Christmas", what gift did the true love give on the 7^th day?

7 swans a swimming

200

In the grinch song, what three words best describe the grinch?

stink, stank, stunk

300

In the classic animated movie, "Rudolph The Red-Nosed Reindeer," what did Hermey the elf want to be when he grew up?

a dentist

400

What famous fairytale were the first gingerbread houses reportedly inspired by?

Hansel and Gretel

500

What song, sung by Bing Crosby, is the world's all-time best selling number 1 single?

White Christmas