PPT Logaritma_Serli Yustina.pptxhjvhblkansks..

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1. LOGARITHM By: Serli Yustina S.S

2. What is logarithm ? Logaritma  adalah suatu invers atau kebalikan dari pemangkatan (eksponen) yang digunakan untuk  menentukan besar pangkat dari suatu bilangan pokok .

3. Example :   Keterangan: a = basis logaritma b = bilangan yang dicari nilai logaritmanya c = besar pangkat / nilai logaritma

4.   Example

5. PROPERTIES OF LOGARITHMS

6. 2) ᵃlog 1 = 0 4) ᵃlog b - ᵃlog c = ᵃlog (b/c) 1) ᵃlog a = 1 3) ᵃlog b + ᵃlog c = ᵃlog bc Properties Of Logarithms First nature Third nature Second nature Fourth nature

7. Properties Of Logarithms Fifth nature Seventh nature Sixth nature Eighth nature                                 5) ᵃlog bⁿ = n . ᵃlog b 6)                                   7) ᵃlog b =         8) ᵃlog b =       

8. 9) ᵃlog b . ᵇlog n . ⁿlog m = ᵃlog m Properties Of Logarithms Ninth nature Tenth nature 10)  

9. EXAMPLE OF APPLICATION OF LOGARITHM PROPERTIES

10. 1) ᵃlog a = 1 Ex : ⁷log 7 = 1 ( because 7¹ = 7) 3) ᵃlog b + ᵃlog c = ᵃlog bc Ex : ⁴log 2 + ⁴log 8 = ⁴log (2 × 8) = ⁴log 16 = 2 ( because 4² = 16) 2) ᵃlog 1 = 0 Ex : ⁶log 1 = 0 ( because 6⁰ = 1)

11. 4) ᵃlog b - ᵃlog c = ᵃlog (b/c) Ex : ⁵log 100 - ⁵log 4 = ⁵log (100/4) = ⁵log 25 = 2 ( because 5² = 25) 5) ᵃlog bⁿ = n . ᵃlog b Ex : ⁴log 64 = ⁴log 4³ = 3 . ⁴log 4 = 3 . 1 = 3 6) Ex : ⁸log 32      

12. 7) ᵃlog b = Ex : ³²log 2     8) ᵃlog b =        Contoh :         = ²log 16 = ²log 2⁴ = 4 . ²log 2 = 4 . 1 = 4

13. 9) ᵃlog b . ᵇlog n . ⁿlog m = ᵃlog m Ex : ²log 5 . ⁵log 3 . ³log 8 = ²log 8 = ²log 2³ = 3 . ²log 2 = 3 . 1 = 3 10)                       Ex :                          

14. L ogarithm Practice Questions