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

Misc

100

 Mrs. Henry's 1st name

What is Sharon

200

Where Mrs. Henry went to college

What is Ohio State

300

How many kids Mrs. Henry has

What is 2?

400

Mrs. Henry's Husbands Name

What is Norm (Norman)?

500

This is where Mrs. Henry went to high school (it is in Saint Louis)

What is Ladue