Pakai cara yaaaaaaaaaaaa dan jngan ngasal yaaaaa

Pakai cara yaaaaaaaaaaaa dan jngan ngasal yaaaaa

Jawaban:

Penjelasan dengan langkah-langkah:

Sifat Logaritma:

a) ${}^{a} log {b} + {}^{a} log {c} = {}^{a} log {(b times c)}$

b) ${}^{a} log {b} = frac{ log {b}}{ log {a} }$

c) ${}^{a^{n}} log {b^{m}} = frac{m}{n} times {}^{a} log {b}$

$\text{[math]}$

Diketahui:

$log{2} = a \ log{3} = b$

maka,

${}^{9} log {36} = frac{log {36} }{ log {9} } \ = frac{ log{(4 times 9)}}{ log{9}} \ = frac{ log( {2}^{2} times {3}^{2} )}{ log{ {3}^{2} }} \ = frac{ log {2}^{2} + log {3}^{2} }{ log {3}^{2} } \ = frac{2. log{2} + 2. log{3}}{2. log{3}} \ = frac{2a + 2b}{2b} \ = frac{2a}{2b} + frac{2b}{2b} \ = frac{a}{b} + 1$

Semoga membantu.