Matematika logaritma
Penjelasan dengan langkah-langkah:
a.
3⁴ = 81
³log 3⁴ = ³log 81
4. ³log 3 = ³log 81
4 = ³log 81
b.
2⁴ = 16
²log 2⁴ = ²log 16
4. ²log 2 = ²log 16
4 = ²log 16
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a.
²log 16 + ³log 81
= ²log 2⁴ + ³log 3⁴
= 4.²log 2 + 4. ³log 3
= 4 + 4
= 8
b.
²log (1/16) + ³log (1/81)
= ²log 2-⁴ + ³log 3-⁴
= -4. ²log 2 + (-4). ³log 3
= -4 – 4
= -8
c.
√³ log 27 +√² log 32
= √³ log (3)³ + √² log (2)⁵
= √³ log (√3)⁶ + √² log (√2)¹⁰
= 6 + 10
= 16
d.
²⁵log 125 + ⁹log 27
= ⁵^² log 5³ + ³^² log 3³
= 3/2 ⁵log 5 + 3/2 ³log 3
= 3/2 + 3/2
= 6/2
= 3
catatan:
⁵^² = 5 pangkat 2
³^² = 3 pangkat 2