[ppt]komposisi tiga fungsi - rumah belajar … · web viewtitle komposisi tiga fungsi author...
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![Page 1: [PPT]KOMPOSISI TIGA FUNGSI - Rumah Belajar … · Web viewTitle KOMPOSISI TIGA FUNGSI Author andryan Last modified by Theresia Veni Created Date 1/30/2012 5:08:27 AM Document presentation](https://reader031.vdocuments.pub/reader031/viewer/2022013114/5c8f8c6609d3f25a6d8c686f/html5/thumbnails/1.jpg)
SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
LOGARITMA
alog b = x b = ax
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
1.SK:Memecahkan masalah berkaitan dengan konsep operasi bilangan real.3.KD: Menerapkan konsep logaritma.4. Indikator: •Konsep logaritma dipahami melalui sifat-sifatnya.•Operasi hitung pada logaritma diselesaikan.
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Logaritma diperlukan untuk menganalisis konsep-konsep lain yang berkaitan denganinvestasi.
Manfaat:
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Ingat:
nm
n m aa
nn aa
1
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Ingat:
53 = 125
Eksponen/pangkat
basis/bilangan pokok
4x = 64 x= ?
Logaritma:x = 4log 64
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Logaritma merupakan invers/kebalikan dari perpangkatan/eksponen.alog b = x b = ax Keterangan:a disebut bilangan pokok/basis, a > 0, a≠ 1 b disebut bilangan logaritma atau numerus dengan, b>0x disebut hasil logaritma atau eksponen dari basis
Pengertian Logaritma
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Logaritma basis 10
Basis 10 pada logaritma tidak perlu dituliskan.Contoh:
10log 3 dituliskan log 310log 5 dituliskan log 5
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
1. Nyatakan bentuk eksponen berikut menjadi bentuk logaritma:
a. 34 = 81b. 23 = 8Jawab:
Contoh:
Ingat: alog b = x b = ax
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
2. Nyatakan bentuk logaritma berikut menjadi bentuk eksponen:
a. 5log 25 = 2b. 2log 32 = 5
Jawab:
Ingat: alog b = x b = ax
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
Sifat-sifat Logaritma:1. alog a = 12. alog 1 = 03. alog b + alog c = alog (b.c)
4. alog b – alog c =
5. alog bn = n . alog b
6. alog b =
7. alog b . blog c = alog c
8. amlog bn =
9. aalog b = b
c
ba log
bmn alog
abapbp
log
1
log
log
Catatan:( alog b)2 = alog2b =(alog b)(alog b)
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
1. Jika 2log x = 3 Tentukan nilai x = …. Jawab:
2. Nilai dari 2log (8 . 16) = ….Jawab:
Contoh:
alog b = x b = ax
alog b + alog c = alog (b.c)
alog bn = n . alog b
alog a =1
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
3. Nilai dari 3log (81 : 27) = ….Jawab:
4. Nilai dari 2log 84 = ….Jawab:
alog b - alog c =
alog bn = n . alog b
alog a =1
c
ba log
alog bn = n . alog b
alog a =1
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
5. Nilai dari 2log 8 + 3log 9 = ….
Jawab:
= 2log 8 + 3log 9
= 2log 23 + 3log 32
=3 . 2log 2 + 2.3log 3
= 3 + 2 = 5
alog bn = n . alog b
alog a =1
Hati-hati! Basisnya berbeda!
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
5. Nilai dari 2log 8 + 3log 9 = ….
Jawab:alog bn = n . alog b
alog a =1
Hati-hati! Basisnya berbeda!
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
6. Jika = . . . Jawab:
alog bn=
bn a log.
43 243log
nm
n m aa
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
7. Nilai dari Jawab:
641log2
alog bn = n . alog b
alog a =1
nn aa
1
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
8. Nilai dari (6log 9 + 2.6log 2) - 2. 6log 6 = . . .
Jawab:
alog bn = n . alog balog a =1
alog b + alog c = alog (b.c)
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
9. Nilai dari 2log 125 x 5log 4= . . . Jawab:
alog b . blog c = alog c
alog bn = n . alog b
alog a =1
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
10. Nilai dari 125log 25 = . . . Jawab:
amlog bn = bmn alog
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
11. Tentukan nilai !
Jawab:6log3
1
6log21
alog b ab log
1
alog b + alog c = alog (b.c)
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
12.Tentukan nilai dari 22log 9!Jawab:
13.Tentukan nilai dari 82log 5!Jawab:
aalog b = b
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
14.Tentukan nilai dari !Jawab:
2log3log
8log.6log3.3log55
52
alog b + alog c = alog (b.c)
alog b . blog c = alog c
alog bn = n . alog b
alog b . blog c = alog c
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SK
Prasyarat
Pengertian
Contoh A
Sifat-Sifat
Contoh B
SMA Tarakanita Citra Raya
15.Tentukan nilai dari !Jawab:
2log3log 32
278
aalog b = b
alog bn = n . alog b