Matematika

Pertanyaan

jika 8log5 v maka 5log16=

1 Jawaban

  • → 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]

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