tuliskan sifat² logaritma beserta contohnya
pls jawaban nya hrs beda kalo sama yang lain ga di nilai nanti kalo jawaban nya benar ku follow juga![]()
pls jawaban nya hrs beda kalo sama yang lain ga di nilai nanti kalo jawaban nya benar ku follow juga
Jawaban:
Sifat-sifat logaritma :
1) ᵃlog a = 1
Contoh :
⁷log 7 = 1
(karena 7¹ = 7)
2) ᵃlog 1 = 0
Contoh :
⁶log 1 = 0
(karena 6⁰ = 1)
3) ᵃlog b + ᵃlog c = ᵃlog bc
Contoh :
⁴log 2 + ⁴log 8
= ⁴log (2 × 8)
= ⁴log 16
= 2
(karena 4² = 16)
4) ᵃlog b - ᵃlog c = ᵃlog (b/c)
Contoh :
⁵log 100 - ⁵log 4
= ⁵log (100/4)
= ⁵log 25
= 2
(karena 5² = 25)
5) ᵃlog bⁿ = n . ᵃlog b
Contoh :
⁴log 64
= ⁴log 4³
= 3 . ⁴log 4
= 3 . 1
= 3
6)
^{ {a}^{m} } log {b}^{n} = \frac{n}{m} . ^{a} logb
a
m
logb
n
=
m
n
.
a
logb
Contoh :
⁸log 32
\begin{gathered} = ^{ {2}^{3} } log {2}^{5} \\ = \frac{5}{3} . ^{2} log2 \\ = \frac{5}{3} .1 \\ = \frac{5}{3} \end{gathered}
=
2
3
log2
5
=
3
5
.
2
log2
=
3
5
.1
=
3
5
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