Logarithmic Expression & Functions

Logarithmic Form

100

2³=8

log₂8=3

200

9^x=36

log₉ 36=x

300

2^-3=1/8

log₂1/8=-3

400

1/3^-1=3

log_1/3 3=-1

500

2^-3=1/8

log₂ 1/8 = -3 

Exponential Form

100

log₂3=5

2⁵=3

200

log₃81=4

3⁴=81

300

log₇₈2=25

78²⁵=2

400

log_x7=1/2

x^1/2=7

500

log_-1/71/2=285

-1/7²⁸⁵=1/2

Equation in logarithmic form

100

e³=x

In x=3

200

e^x=36

In 36=x

300

e^{15 = 30}

In 30=15

400

e^1/2 = 10

In 10 = 1/2

500

e^x-9=74

In 74 = x-9

Equation in exponential form

100

In 2=8

e⁸=2

200

In 53=x

e^x=53

300

In x = 18

e¹⁸ = x

400

In 354=13

e¹³=354

500

In 50=10

e¹⁰=50

Fun Questions

100

Which is the rarest blood type in humans?

AB-

200

Where was Jennifer Lopez born?

The Bronx, New York, NY

300

What team won the World Cup in 2018? 

France

400

What U.S. State does Sandy come from? (Spongebob)

Texas

500

How many countries are in the world? 

195