Intro to Logarithms Jeopardy!

Definitions

100

How do you say this equation in words? (say it in relation to logarithms not exponentials)

Log₂(4)=x

"Log/logarithm two of four equals x"

200

What is a logarithm? 

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

300

Label this equation with the base, value, and the exponent: log_b(y)=x

_b=base or b. (y)=value or (b^x). x=exponent

400

What is a natural logarithm?

When the base value is not 10.

500

Give two examples of logarithms in the real world

Earthquakes, astronomy, and radioactivity

Exponentials to Logarithms

100

Put this equation in logarithmic form and solve for 

2^x=8

x=3

log₂(8)=3

200

Put this equation in logarithmic form and solve for x:

5^x=25

log₅(25)=x

x=2

300

Put this equation in logarithmic form and solve for x:

6^x=216

log₆(216)=x

x=3

400

Put this equation in logarithmic form and solve for x:

8^x=(1/64)

log₈(1/64)=-2

x=-2

500

Put this equation in logarithmic form and solve for x

10^x=100000000000

x=11

log₁₀(100000000000)=x or 11

Logarithms to Exponentials

100

BONUS CARD!

STEAL UP TO 100 POINTS FROM ANY GROUP!

200

Put this equation in exponential form and solve for x:

log_-6(36)=x

-6^x=36

x=2

300

Put this equation in exponential form and solve for x:

log₄(64)=x

4^x=64

x=3

400

Put this equation in exponential form and solve for x:

log₀(1)=x

0^x=0

x=1

500

Put this equation into exponential form and solve for x:

log₇(343)=x

x=3

7³=343