Intro to Logarithms Jeopardy!

Exponents

100

Solve: 2⁴=x

x=16

200

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300

Solve: 31¹=x

x=31

400

Solve: 15^1/2=x

x=3.4641

500

Solve: 49²=x

x=2041

Finding x

100

Solve: 2^x=8

x=3

200

Solve: 3^x=81

x=4

300

Solve: 28^x=1

x=0

400

Solve: 12^x=(1/1728)

x=-3

500

Solve: 6^x=1296

x=4

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

Explain what is a logarithm in real world context. Give 3 examples.

idk yet

Exponential 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 Exponential

100

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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