Logarithm Test Review

Converting Forms

100

Write in exponential form. 

log₉81=2

9²=81

200

Write in logarithmic form. 

6⁴=1296

log₆1296=4

300

Write in logarithmic form. 

x^y=178

log_x178=y

400

Write in exponential form. 

log10000

10⁴

500

Write in logarithmic form. 

3^x+4=y-2

log₃y-2=x+4

Evaluating Logs

100

log₃27

3

200

log₆₄(1/4)

-(1/3)

300

log 100,000

5

400

Round to the nearest thousandth.

ln25

3.219

500

Round to the nearest hundredth. 

log_-749

No solution! Logs cannot be negative!

Solving for a Missing Variable

100

log₂x=5

32

200

Round to the nearest thousandth.

log_b343=7

2.302

300

log₁₂a=1

0

400

log_b100=2

10

500

log_(1/9)a=-1

9

Solving Exponential Equations

100

Round to the nearest thousandth.

9^x=49

1.771

200

Round to the nearest thousandth.

5(6^3m)=20

0.258

300

Round to the nearest thousandth. 

11^x-8-5=54

9.700

400

Round to the nearest thousandth

9^x+10+3=81

-8.017

500

Round to the nearest thousandth.

3(2^x+6)-4=17

-3.193

Random Questions

100

This social media app is known for its short dance videos.

What is TikTok?

200

The band that sings "Bohemian Rhapsody"

Who is Queen? 

300

The seven continents.

What are Africa, Asia, Australia, North America, South America, Antarctica, and Europe? 

400

The 16th President of the United States. 

Who is Abraham Lincoln?

500

This movie has made the most money in history. 

What is Avatar at $2.92 billion?