Matematika

Pertanyaan

4 log 7 = x. Nilai dari 2 log 49 =

2 Jawaban

  • ◾ Materi : Logaritma
    ◾ Sub materi : Sifat Umum Logaritma
    ◾ Mapel : Matematika
    ◾ Keyword :

    Jawab :
    ⁴log 7 = x

    ²log 49
    = log 49 / log 2
    = ⁴log 49 / ⁴log 2
    = ⁴log 7² / 2² log 2
    = 2. ⁴log 7 / ½ ²log 2
    = 2. x / ½
    = 4x


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  • [tex] ^{4} log7 = x \\ ^{2 ^{2} }log7 = x \\ \frac{1}{2} \: ^{2} log \: 7 = x \\ ^{2} log \: 7 = 2x \\ \\ maka \\ ^{2} log \: 49 = ^{2} log \: {7}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 ^{2} log \: {7} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 2x = 4x[/tex]

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