jika 8log5 v maka 5log16=
Matematika
des48
Pertanyaan
jika 8log5 v maka 5log16=
1 Jawaban
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1. Jawaban geraldabraham
→ Materi : Logaritma ←
≡ Diketahui:
[tex]\Leftrightarrow \;^{8}\log{5}=v[/tex]
≡ Sifat logaritma yang dipakai:
[tex]\Leftrightarrow \; ^{a^{b}}\log{c^{d}}=\frac{d}{b}.^{a}\log{c} \\ \Leftrightarrow \; ^{a}\log{b}=\frac{1}{^{b}\log{a}}[/tex]
≡ Penyelesaian:
[tex]\Rightarrow ^{2^{3}}\log{5}=v \\ \Rightarrow \frac{1}{3} \times ^{2}\log{5}=v \\ \Rightarrow ^{2}\log{5}=3v \\ \\ \Rightarrow ^{5}\log{2^{4}} \\ \Rightarrow 4 \times ^{5}\log{2} \\ \Rightarrow 4 \times \frac{1}{3v} \\ \leadsto \boxed{\frac{4}{3v}}[/tex]