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