Log Review

Exponential to Log

100

Write in log form: 4² = 16

What is log₄16 = 2?

200

Write in log form: 7⁴ =2,401

What is log₇2,401 = 4?

300

Write in log form: 8^-3 = 1/512

What is log₈ 1/512 = -3?

400

Write in log form: 16^-2 = 1/256

What is log₁₆ 1/256 = -2?

500

Write in log form: 7³ = 343

What is log₇ 343 = 3?

Log to Exponential

100

Write in exponential form: log₅ 125=3

What is 5³ = 125?

200

Write in exponential form: log₂₆ 676=2

What is 26² = 676?

300

Write in exponential form: log₁₅ 1/3,375= -3

What is 15^-3= 1/3,375?

400

Write in exponential form: log₉ 3=1/2

What is 9 ^1/2 = 3?

500

Write in exponential form: log_10,000 1/1,000 = -3/4

10,000^-3/4 = 1/1,000

Log Expressions

100

log₂₀400

What is x=2?

200

log₅ 15,625

What is x=6 ?

300

log₆ 1/7,776

What is x= -5?

400

log₈ 16,777,216

What is x= 8 ?

500

log₁₆ 1

What is x = 0?

Expand and Condense

100

Condense

log (x) + log (y)

log (xy)

200

Condense

log (16) + log (2) + log (3)

log 96

300

Expand

log (yx^{3 )}

log(y) +3log(x)

400

Condense

log(x+2) + log(x-3)

log(x²-x-6)

500

Solve:

log(36)-log(y)=log (12)

y=3

Misc.

100

What two football teams are going to the Super bowl?

Kansas City Chiefs and Philadelphia Eagles

200

Who won the Super Bowl last year?

Kansas City Chiefs

300

Who won the 2022 world cup?

Argentina

400

The real name of the rapper who made Taylor's favorite song: Rap God

Who is Marshall Mathers?

500

What was the name of Taylor Swifts last album?

The Tortured Poets Department