jika ²log3=p dan ³log5=q , maka nilai 9log8:25log27

Materi Logaritma

[tex] \text{Diketahui} \\ ^2 \log 3 = p \rightarrow^3 log 2 = \dfrac{1}{p} \\ ^3 \log 5 = p \rightarrow ^5 \log 3 = \dfrac{1}{q} \\^9 \log 8 : ^25 \log 27 = ^{3^2} \log 2^3 : ^{5^2} \log 3^3 \\ = \dfrac{3}{2}~^3 \log 2 : \dfrac{3}{2}~^5 \log 3 \\ = \dfrac{1}{p} : \dfrac{1}{q} = \dfrac{q}{p} [/tex]