SIFAT-SIFAT LOGARITMA
Selamat datang di blog matematika, para pengunjung pasti sudah mengenal mengenai operasi logaritma. Ya, logaritma merupakan operasi yang mencari nilai pangkat. Kita misalkan bentuk perpangkatannya $\displaystyle a^b=c$ maka $\displaystyle b=~^a\text{log}(c)$. Setelah kita mengenal mengenai operasi logaritma maka selanjutnya kita mengetahui sifat-sifatnya. Berikut ini sifat-sifat logaritma:
1. $\displaystyle ^a\text{log} ~b=\frac{1}{^b\text{log}~a}$
2. $\displaystyle ^a\text{log}(b.c)=~^a\text{log}~b+~^a\text{log}~c$
3. $\displaystyle ^a\text{log}\left(\frac{b}{c}\right)=~^a\text{log}~b-~^a\text{log}~c$
4. $\displaystyle ^a\text{log}~a^b=b$
5. $\displaystyle ^a\text{log}~b^c=c.~^a\text{log}~b$
6. $\displaystyle ^{a^b}\text{log}~c=\frac{1}{b}.~^a\text{log}~c$
7. $\displaystyle ^a\text{log} ~b=\frac{^c\text{log}~b}{^c\text{log}~a}$
8. $\displaystyle ^a\text{log} ~b.~^b\text{log}~c=~^a\text{log}~c$
2. $\displaystyle ^a\text{log}(b.c)=~^a\text{log}~b+~^a\text{log}~c$
3. $\displaystyle ^a\text{log}\left(\frac{b}{c}\right)=~^a\text{log}~b-~^a\text{log}~c$
4. $\displaystyle ^a\text{log}~a^b=b$
5. $\displaystyle ^a\text{log}~b^c=c.~^a\text{log}~b$
6. $\displaystyle ^{a^b}\text{log}~c=\frac{1}{b}.~^a\text{log}~c$
7. $\displaystyle ^a\text{log} ~b=\frac{^c\text{log}~b}{^c\text{log}~a}$
8. $\displaystyle ^a\text{log} ~b.~^b\text{log}~c=~^a\text{log}~c$
Demikianlah sifat-sifat logaritma, jika para pengunjung mengetahui sifat lain maka tulis di kolom komentar. Sampai jumpa dan semoga bermanfaat.
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