ページ1:

No.
Date:
LOGARITMA
* Definisi Bentuk akar
Utk Setiap bilangan pangkat rasional m dimana m dann adalah
bilangan bulat dan n>o, didefinisikan
M
=
atau an
√
3√92
=93
*
=
5
* Sederhana bentuk alcar
= √(x) = (( x )
((\))
3
=
2-3 -0
5
3
15
25 -2 = 16
15
9
16
3
3
((° *) *)!)³
* Definisi logarifina
bilangan positif dengan o<a <] atau 9>1, 670
9l0gb
artinya
:
6=9°
ket :
9=
disebut bilangan Potok
6- disebut bilangan lugaritina,
C =
numplus dyn 970
disebut hasil logatitina /eksponen dari bușis A
{
alg

ページ2:

2/098'
= 3
8 = 2
C=3
3/009
C
-2
2 0 32 25
logaritma dgn basis lo
-
9/096 = m
10
maka :
'
long b
=3
No
LUGARITM
Date:
Cukup ditulis log b = m
Basis
10
10 pada logaritma tidak perlu ditulis
3
5
10/09 10 = 1
10g 1000
09 -1
log 3
10
loags - log5
1
TJO
= Co
←
-log
3
=10'
= 3
0,001 = 9
Bentuk eksponen
S
2
=32
Sifat-sifat logaritima
1. a og a
= 1
2.
9|og 1=0
3. logan = n
9
4. log (bxc) = "/0gb + a log c
5.9
log
9/09 (b) = 9/096 - 9/008
Bentuk logaritme
2/09 32 =5
6.9 og br
7.9/036
=
=1" log b
m log b
=
1/29 9
8.9
==
bloga
9/09bx bloge = 9/096
Big
Bass

ページ3:

* Contoh Soal
①2/098:3
23/0981 = 4
③109 1000:
/09
103
2/09* = 6
-064x=2" = 64
log x = 5 -> 100.000 = 105=5-
2/09 (8×16)=
=
=
~/096 +2/09 16 (Sikat keny)
2/0923 + 2/092
= 3+4
= 7
63/09 (81:24)
= 3/0g 81
= 3/09 3'
-4-3
= |
④⑦2 2/09 4"
= "/09 4"
=
L
4
-
-
3/09 27 (sifuH 40-s)
3/0933
· 4x2/09 4 (siRat kec)
= 4x2
=
⑧3/09 √9
= 3/09
V
3/09 3√√32
= 3 log 37
=
2
3
Date:
BOSS

ページ4:

No.
Date:
Soal latihan
Sederhanakan bentuk
Jwi
3
2
92.6
49253
i
2
2
92.5
4.92.52
2
b
2
(1-77)
=
2
2
b
*
Gambarban grafik fungsi eksponen f(x) = 2'
-4, -3, -1,0,1,2,3,4)
x =
* F(-4) = 2
=
W F(0) = 2°
= 1
* F(-3)
=2
= 1
*#(1)
51
= 2 = 2
23
× F(-2)=2
* F (+) = 2"
3
=
=
2
(15.)³ (√)
2
9%
2/09 16 + 3/09 √77 + 5/09125
=
1
*F(1) =
= 2
= 4
*F(3) -2³
=8
F(4)
=
= 16
31
=
= 4
Mengolorch
40 log yo
=
=
40 log Yo
1
z
4 +
3/09433
+3
= 4+
+3
17
= 8
2
=
8,5
Big
Bass