Logarithm slide dari guru sekolah ipeka.pdf

Logarithm

1. LOGARITH
M
By: Serli Yustina S.S

3. What is logarithm?
Logarithm is the inverse or
opposite of exponent which is
used to determine the power of a
base number.

5. Example
:
● 
Keterangan:
a = basis logaritm
a
b = bilangan yang
dicari nilai logaritm
anyac = besar pangkat /
nilai logaritm
a

6.  
Exampl
e

7. PROPERTIES OF
LOGARITHMS

8. 2)
log 1 = 0ᵃ
4)
log b - log c = log (b/c)ᵃ ᵃ ᵃ
1)
log a = 1ᵃ
3)
log b + log c = log bcᵃ ᵃ ᵃ
Properties Of Logarithms
First
nature
Third
nature
Second
nature
Fourth
nature

9. Properties Of
Logarithms
Fifth
nature
Seventh
nature
Sixth
nature
Eighth
nature


                               
5)
log bⁿ = n . log bᵃ ᵃ
6)


                               
7)
log b =ᵃ


       
8)

log
ᵃ

b =


      

10. 9)
log b . log n . ⁿlog m = log mᵃ ᵇ ᵃ
Properties Of Logarithms
Ninth
nature
Tenth
nature
10) 

11. EXAMPLE OF
APPLICATION OF
LOGARITHM
PROPERTIES

12. 1)
log a = 1ᵃ
Ex
:
log
7 = 1⁷
(because
7¹ = 7)
3)
log b + log c = log bcᵃ ᵃ ᵃ
Ex:
log
2 + log 8⁴ ⁴
=
log (2 × 8)⁴
=
log 16⁴
=
2
(because
4² = 16)
2)
log 1 = 0ᵃ
Ex
:
log
1 = 0⁶
(because
6 = 1)⁰

13. 4)
log b - log c = log ᵃ ᵃ ᵃ
(b/c)
Ex
:
log
100 - log 4⁵ ⁵
=
log (100/4)⁵
=
log 25⁵
=
2
(because
5² = 25)
5)
log bⁿ = n . log bᵃ ᵃ
Ex
:
log
64⁴
=
log 4³⁴
=
3 . log 4⁴
=
3 . 1
=
3
6)
Ex
:
log
32⁸


    

14. 7)
log b =ᵃ
Ex
:
³²log
2


   
8)
log b =ᵃ


      
Contoh
:


       
= ²log 16
= ²log 2⁴
= 4 . ²log 2
= 4 . 1
= 4

15. 9)
log b . log n . ⁿlog m = ᵃ ᵇ
log
mᵃ
Ex
:
²log
5 . log 3 . ³log 8⁵
=
²log 8
=
²log 2³
=
3 . ²log 2
=
3 . 1
=
3
10)


                     
Ex
:


                        

16. Logarithm Practice
Questions