Growth or decay?

y= 2^x

y=a^.b^x-h+k

y=a^.b^x

b>1 a is positive  

Growth or decay??? 

Growth

y=a^.b^x

0<b<1 (fraction) a is positive

Growth or Decay ??

DECAY 

Log_b X=Y

this is a              

logarithym  

how would you say this?

log₁₀ 1000= 3

log of  1000 base 10 equals 3

what is the exponential form?

log₄ 16= 2

4²=16

what is the logarithym form?

7²⁼49

log₇ 49= 2

2²  simplify

2²=4

2³ simplify 

2³=8

2⁴ simplify 

2⁴= 16

2⁵ simplify 

2⁵=32

2⁷ simplify 

128 

3² simplify

9 

3³ simplify    

27 

3⁴ simplify

81 

3⁵ simplify 

243 

3⁶ simplify 

729 

3⁷ simplify 

2187 

4² simplify 

16 

4³ simplify 

4³ = 64

4⁴ simplify 

4⁴=256

4⁵ simplify 

4⁵=1024

2⁰ simplify 

2⁰=1

anything to the power is zero is          

is 1 when the exponet is zero  

anything to the power of one is         

is itself when the power is set to one 

2^-1 simplify 

1

2¹

2^-2 simplify 

1

4 

log₇ 49 =x

what does x equal  

 log₇ 49 =x

x=2 

log₃ 0 = x

what does x equal? 

NOTHING

log₃0 is undefined because nothing to the power of any base equals 0 but 0

9^-3 simplify 

9^-3=  1

        729

log₁₀1000=x

what does x equal? 

 log₁₀1000=x

x=3 because 10 to the power of 3 is 1000 

log₁₀ .001 =x

what does x equal  

x=-2 

log 3^x= log 11

to solve you do log (11) and divide it by log (3) and you get

x= 2.1827 

what is the "change of base"?

log_a n = log n divided by log a 

( as long as the base is the same ) 

what is log₂ 5 ?

log (5) divided by log (2) 

and it equals 2.3219 

log₃ 27

what does it equal? 

log (27) divded  bylog (3)

and it equals 3 

log₄64=x

what does x equal ? 

x =3