Logarithms Review Game!

log basics

100

When finding the product property what must always be the same?

The Base

200

what operation do you do when you add logs?

You multiply

300

what operation do you do when you subtract logs?

You divide

400

When condensing and expanding, what are 2 main things you need to do?

1. Find the power property

2. Find the product/quotient property

500

what is the difference between ln and log bases?

ln(e) log(10)

log to exponent

100

log₁₀1=0 

10^0=1

200

log(2x)=5x

10^5x=2x

300

log₈ 1=0

8⁰ =1

400

log₂ 1/16 = -4

2^-4 = 1/16

500

log₄ x=7

4⁷ =x

exponent to log

100

What is 5^3=125 in log form?

log_5(125)=3

200

What is b²=7 in log form?

log_b 7=2

300

What is 2^a=12 in log form?

log₂12=a

400

What is 3⁵=x in log form?

log₃x=5

500

What is 14^-2=t in log form?

log₁₄t=-2

solve for x

100

What is x if log_5 (x-7)=1?

x=12

200

What is x if log_10 (x-10)=1?

x=20

300

What is x if log₆(2x-4)+log₆(4)=log₆40?

7

400

What is x if log₅(2x+3)=3?

61

500

What is x if log(2x+1)=2?

49.5

expand & condense

100

expand: log5x³

log5+3logx

200

condense: 5logh-8logk

logh⁵/k⁸

300

expand: logb¹²k/y³

12logb+logk-3logy

400

condense: 4logc+6logy-3logs

logc⁴y⁶/s³

500

expand: log₄5x³y

log₄5+3log₄x+log₄y