Logarithms Review

Converting Log and Exponential Form

100

Convert to Exponential Form:

log_2(8)=x

2^x=8

200

Convert to Logarithmic Form:

4^y=x

log_4(x)=y

300

Convert to Exponential Form:

log_(x-1)(4)=2y

(x-1)^(2y)=4

400

Convert to Exponential Form:

log_(3x)(5-z)=4y

(3x)^(4y)=5-z

500

Convert to Logarithmic Form:

10^(x+4)=2y-7

log(2y-7)=x+4

Solving Algebraic Log Equations with Log Properties

100

Solve for x:

3^x = 15

x = log(15)/log(3)

200

Solve for x:

5^(2x)=21

x=log(21)/(2log(5))

300

Solve for x:

8^(x-4)=30

x= log(30)/log(8) + 4

400

Solve for x:

5*2^x=240

x=log(48)/log(2)

500

Solve for x:

3^(2x-1)=27

x=((log(27)/log(3))+1)/2

Evaluating Logs

100

Solve using Logarithms:

log_7(49) = x

x=2

200

Solve Using Logarithms:

log_3(1/27)= x

x= -3

300

Solve by Converting:

log_4(x)=-5

x=

x = 1/1024

400

Solve using Logarithms:

 

log_x(1/64) = -2

 x = 8

500

Solve using Logarithms:

log_(x+2)(16)=2

x=2

General Trivia

100

Who was the first basketball star player to appear on a box of cereal?

Michael Jordan

200

What bone are human babies born without?

Knee caps

300

How many time zones are there in the world?

24

400

What country invented tea?

China

500

What was the first country to give women the right to vote?

New Zealand