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8/18/2019 Bab 6 - Logaritma 2
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INDEKS & LOGARITMAINDEKS & LOGARITMA
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8/18/2019 Bab 6 - Logaritma 2
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8/18/2019 Bab 6 - Logaritma 2
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Q & A - 1Q & A - 1
LogLog22 x = 5x = 5
JAWAPAN : x = 2JAWAPAN : x = 255 x = 32x = 32
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-2Q&A-2
LogLog55 x = 10x = 10
JAWAPAN : x = 5JAWAPAN : x = 51010
x = 9765625x = 9765625
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-3Q&A-3
P!"#$%'%( )ogP!"#$%'%( )og22 x * )ogx * )og22 +2x *
7,+2x * 7,
JAWAPAN : )ogJAWAPAN : )og22 x+2x * 7,x+2x * 7,
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-4Q&A-4
P!"#$%'%( )ogP!"#$%'%( )og22 x - )ogx - )og22 1.1.
JAWAPAN : )ogJAWAPAN : )og22 +x/1.,+x/1.,
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-5Q&A-5
S)%'%( )ogS)%'%( )og22 x * )ogx * )og22 +2x * 7, =
2+2x * 7, = 2
JAWAPAN : x = . x = 1/2JAWAPAN : x = . x = 1/2
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8/18/2019 Bab 6 - Logaritma 2
8/17
Q&A-5Q&A-5
S)%'%( )ogS)%'%( )og22 x * )ogx * )og22 +2x * 7, =
2+2x * 7, = 2
)og)og22 x+2x * 7 , = 2x+2x * 7 , = 2
x+2x * 7 , = 2x+2x * 7 , = 222
2x2x22 * 7x - . = 0* 7x - . = 0
+2x 1 , + x * . , = 0+2x 1 , + x * . , = 0
JAWAPAN : x = . x = 1/2JAWAPAN : x = . x = 1/2
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-6Q&A-6
S)%'%( )ogS)%'%( )og1010 +x1, = 1 * )og+x1, = 1 *
)og1010 +1x,+1x,
JAWAPAN : x = 1JAWAPAN : x = 1
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8/18/2019 Bab 6 - Logaritma 2
10/17
Q&A-6Q&A-6
S)%'%( )og +x1, = 1 * )og +1x,S)%'%( )og +x1, = 1 * )og +1x,
)og + x - 1 , = )og 10 * )og + 1 - x,)og + x - 1 , = )og 10 *
)og + 1 - x,
)og + x - 1 , = )og 10 + 1 - x ,)og + x - 1 , = )og 10 + 1 - x
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+ x - 1 , = 10 + 1 - x ,+ x - 1 , = 10 + 1 - x ,
x - 1 = 10 - 10 xx - 1 = 10 - 10 x
11x = 1111x = 11
JAWAPAN : x = 1JAWAPAN : x = 1
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8/18/2019 Bab 6 - Logaritma 2
11/17
Q&A-7Q&A-7
N)%'%( )og 5 * )og 7 * )og .N)%'%( )og 5 * )og 7 * )og .
JAWAPAN : 241.61JAWAPAN : 241.61
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8/18/2019 Bab 6 - Logaritma 2
12/17
Q&A-8Q&A-8
D! )ogD! )og55 x = #(g'%'%( )ogx = #(g'%'%(
)og5x5x 55
$%)%" #%( $%)%" #%(
JAWAPAN : 1/+1 * ,JAWAPAN : 1/+1 * ,
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-8Q&A-8
D! )ogD! )og55 x = #(g'%'%( )ogx = #(g'%'%(
)og5x5x 55$%)%" #%( $%)%" #%(
LogLog5x5x 5 = )og 5 = )og55 5 / )og5 /
)og55 5x 5x
= 1 / + )og= 1 / + )og55 5 * )og5 * )og55 x ,x
,
JAWAPAN : 1/+1 * ,JAWAPAN : 1/+1 * ,
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-9Q&A-9
D! )ogD! )og22 3 = 14585 $%(3 = 14585 $%(
)og)og22 5 = 243224 %!'%( ()% )og5 = 243224 %!'%( ()%
)og1515 ..
JAWAPAN : 045119JAWAPAN : 045119
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-9Q&A-9
D! )ogD! )og22 3 = 14585 $%( )og3 = 14585 $%( )og22 5
= 2432245 = 243224%!'%( ()% )og%!'%( ()% )og1515 ..
LogLog1515 . = )og. = )og22 . / )og. / )og221515
= 2)og= 2)og22 2 / + )og2 / + )og22 3 * )og3 *
)og22 5,5,
= 2 / +14585 * 24322,= 2 / +14585 * 24322,
JAWAPAN : 045119JAWAPAN : 045119
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-10Q&A-10
S)%'%( !%"%%( 3S)%'%( !%"%%( 3x*1x*1 - 3- 3xx = 5=
5
JAWAPAN : 0483.JAWAPAN : 0483.
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8/18/2019 Bab 6 - Logaritma 2
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Q&A-10Q&A-10
Selesaikan persamaanSelesaikan persamaan33x+1x+1 – 3–
3xx = 54= 54
JAWAPAN : 0483.JAWAPAN : 0483.
3x . 3 – 3x = 54
3x ( 3 – 1 ) = 54
3x . 2 = 54
3x = 54 / 2 =27
3x = 33
X=3
