Log Jeopardy

Exponential Form

100

Write log₄64=3 in exponential form

What is 4³=64

200

Write log₅1=0 in exponential form

What is 5⁰=1

300

Write log1,000,000=6 in exponential form

What is 10⁶=1,000,000

400

What is the basic format for writing a logarithm in exponential form?

What is b^a=x

500

Write log100,000,000=x in exponential form and then solve for x.

What is 10^x=100,000,000 x=8

Solving Logs

100

log₇x=3

What is 343

200

ln e⁸

What is 8

300

log₃x + log₃(x-2)=1

What is 3

400

log₂(x²-2)=1

What is 2 or -2

500

ln (x²-8)=2

What is + or - the square root of e²+8

Laws of Logs

100

log_bMN=?

What is log_bM + log_bN

200

Expand: log₃M/N²

What is log₃M - 2log₃N

300

Express y in terms of x: log y= 3 log x + 2 log x

What is y=x⁵

400

Write as a single log: 1/2 log 16 + 2/3 log 8

What is log 16

500

Write as a single log: 2 log 6 + 1/2 log 9 - 1/4 log 16 - 1/3 log 27

What is log 18

Convert to a Logarithm

100

Convert to a logarithm: 2⁴=16

What is log₂16=4

200

Convert to a logarithm: 8²=64

What is log₈64=2

300

Convert to a logarithm: e^x=e⁸

What is ln e⁸=x

400

Convert to a logarithm: 10⁴=10,000

What is log10,000=4

500

Convert to a logarithm and then solve for x: 2^x=1024

What is log₂1024=x x=10

Misc.

100

What is the inverse of f(x)=9^x

What is f^-1(x)= log₉x

200

Compare the graph of f(x)=log x to the graph of f(x)=log(x-5)

What is the graph shifts to the right 5

300

What is a common logarithm?

What is the exponent you get when you write x as a power of 10

400

Jet at takeoff- I:10¹²Io Calculate the decibel level

What is 120dB

500

10^{4 log 3}=?

What is 81