Logarithm Jeopardy

Vocabulary

100

This is the default base of the common log.

10

200

This is the only base for the natural log

e (euler's number)

300

Any expression within a logarithm is called the ______?

Arugment

400

This always has the same base.

Natural Logarithm

500

This allows us to condense a difference of two or more logarithms provided they have the same base.

Quotients Property

Expand

100

log(xy)

log(x) + log(y)

200

log(xyz)⁷

7log(x) + 7log(y) + 7log(z)

300

log(xy³)

log(x) + 3log(y)

400

log(xy/z)

log(x) + log(y) - log(z)

500

log(x³/y⁵)

3log(x) - 5log(y)

Evaluate

100

log₁₀0.000001

-6

200

log₃243

5

300

log₉27

3/2 or 1.5

400

log_0.2564

-3

500

log_1.60.625

-1

Condense

100

log(2x) + log(4x)

log(8x²)

200

5log(x) + 5log(y)

log(xy)⁵

300

2log(x) + log(y) - log(z)

log(x²y/z)

400

6log(x) + 4log(x) - 7log(x)

log(x³)

500

3log(x⁴)+2log(y⁶)

log(x¹²y¹²)

Solve

100

5^(x-4)=25

x = 6

200

2 + log₉(6x) = 4

x = 13.5 or 

27/2

300

ln(x+6) + ln(x) = ln(27)

x = 3

400

5 + 10log₇(5-3x) = 25

x = 

-44/3

500

log₂x+log₂(x-2)=3

4