CONTOH SOAL LOGARITMA DAN PENYELESAINNYA :
Jawab :
(√5
-
3)/(√5 + 3)
= (√5
-
3)/(√5 + 3) x (√5
- 3)/(
√5
- 3) <-- kali akar sekawan
= (√5
- 3)²/(5 - 9)
= -1/4 (5 -
6√5 + 9)
= -1/4 (14 -
6√5)
= -
7/2 + 3/2√5
= (3√5
- 7)/2
5)
Jika a log 3 = -
0,3 tunjukkan bahwa a = 1/81 3√9
Jawab :
ª log 3 = -0,3
log 3/log a = -0.3
log a = -(10/3)log 3
log a = log [3^(-10/3)]
a = 3^(-10/3) = 3^(-4) (3²)^(
⅓
)
a= 1/81 3√9
TERBUKTI ^_^
6)
log (3a -
√2) dengan basis 1/2. Tentukan nilai a!
Jawab :
[log (3a -
√2)]/log(0.5) =
-0.5
log (3a -
√2) =
-
0.5 log 0.5 = log (1/√½)
3a -
√2 = 1/√½
a = (2/3) √2
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