Log Review Game

Condensing and Expanding

100

9 log c+ 8 log y

log(c⁹y⁸)

200

log x⁵/y³

5 log x - 3 log y

300

log x²/y⁷

2 log x - 7 log y

400

log y⁴x²/z

4 log y + 2 log x - log z

500

log y⁹c⁵x⁸/z⁴

9 log y + 5 log c + 8 log x - 4 log z

Solve For X

100

log₇(8x)+2 log₇(8)=2

x=49/512

200

log₂(8x)-3 log₂(6)=0

x=27

300

log₆(4x)+ log₆(9)=3

x=6

400

log₇(5x)- 3 log₇(2)=0

x=8/5

500

log₃(6x)+log₃(2)=3

x=9/4

Half Life

100

Element X decays radioactively with a half life of 12 minutes. If there are 270 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 10 grams?

57.1

200

Element X decays radioactively with a half life of 9 minutes. If there are 890 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 238 grams?

17.1

300

The bird fossil sample was found to have 1.79 * 10^-9 grams of carbon-14. It is estimated it originally had contained 3.32 * 10^-9 the halflife of this is 5730 what is the age of this fossil sample?

age:5107

400

the sample of a piece of slab was found to have lost 36.5% of its original carbon-14 what is the age of this ample of slab if its half life is 5730

age:3754

500

A sample of a piece of tissue was found to have 0.0076 grams of carbon-14. It is estimated it origanally would have contained 0.0145 grams of carbon-14 what is the age of this piece of tissue if the half life is 5730?

5340

Log=Log

100

log₂(x+2)+log₂(3)=log₂(27)

x=7

200

log₃(x)+log₃(x-2)=log₃(x+10)

x=5

300

log₅(x+2)-log₅(x)=log₅(2x-1)-log₅(3x-12)

x=8

400

1/2log(x⁴)-log(2x-1)=log(x²)+log(2)

x=3/4

500

In(3x)=In(4x-1)+In(1-x)

x=1/2