WTW Logarithmic Expressions & Functions

Exponential & Logarithmic Form

100

Write this expression in exponential form  log₃81=4

 What is 3⁴=81

200

Write this expression in logarithmic form  6^y=18

What is log₆18=y

300

Write this expression in exponential form  log_x7=2

What is x²=7

400

*********Write this expression in logarithmic form  e^x=36

What is ln 36=x

500

Write this expression in exponential form  log_12xy144=56

What is (12xy)⁵⁶=144

Evaluate Logarithms

100

Evaluate Logarithm log₇ 49

What is 2

200

Evaluate Logarithm log₅ -25

What is undefined

300

Evaluate Logarithm log.01

What is -2

400

Evaluate Logarithm log₃(1/27)

What is -3

500

Evaluate Logarithm log_(1/4) 64

What is -3

Condense logarithms

100

Condense Logarithm (DO NOT EVALUATE) log₁₂ 3 + 3*log₁₂2 

What is log₁₂24

200

Condense Logarithm (DO NOT EVALUATE) log₁₆4+2*log₁₆4

What is log₁₆64

300

***********Condense Logarithm (DO NOT EVALUATE) 3log₅3-log₅9

What is log₅3

400

Condense Logarithm log₃4-4*log₃2+log₃2

What is log₃(1/2)

500

Condense Logarithm  log₄(x-1)+2*log₄3

What is log₄ 9(x-1) or log₄ (9x-9)

Random logs

100

Expand ln (x/4)

What is lnx - ln 4

200

***********Expand log (3x^2/4)

What is log 3+2logx-log4

300

Evaluate ln1+ln e

What is 1

400

Evaluate log (11/11)

What is 0

500

Evaluate log (sqrt(10))

What is 1/2

Miscellaneous

100

What disney show has the song "Let it Go?"

Frozen

200

What is the 2nd largest land mass in the world?

Canada

300

Who sings "Living on a Prayer"?

Bon Jovi

400

How many US pounds are in a ton?

2000lbs

500

Who was the ancient Greek God of the Sun?

Apollo