logs and exponents-Level 1_Katti

Calculate a^n

100

3⁴

81

200

9⁰

1

300

7¹

7

400

2^-3

1/8

500

81^1/2

9

Calculate logs

100

log₂(2)

1

200

log₂(2)³

3

300

log₂(1)

0

400

log₂(2)^-4

-4

500

log₂(1/4)

-2

Product Rule

100

log₂(2x)

log₂(2x)=log₂(2) + log₂(x)

1+x

200

log₃(9a)

log₃(9)+log₃(a)=log₃(3)²+log₃(a)=

2+a

300

log₂(4*8)=log₂(4)+log₂(8)  True or False by what rule

True by product rule

400

log₃(9*3)=log₃(9)+log₃(3) True False What rule?

True Power Rule

500

log₁₀(10*100)

log₁₀(10) +log₁₀(100)=

1+2=3

Power Rule

100

log₂(x)⁸

8log₂(x) 

200

log₂(7)^-7

-7log₂(7)

300

log₈(8)^-2

-2log₈(8)

=-2

400

log₁₁(11)³⁷

37log₁₁(11)

37

500

log₂(4)^-1/2

(-1/2)log₂(4)=

(-1/2)log₂(2)²=

-(2/2)log₂(2)=

-1