Nilai 5 log9 × 3 log10 - 5 log4 adalah

Nilai 5 log9 × 3 log10 – 5 log4 adalah

Jawaban Terkonfirmasi

Kelas 10 Matematika
Bab Logaritma

⁵log 9 . ³log 10 - ⁵log 4
= ³log 9 . ⁵log 10 - ³log 2²
= 2 . ⁵log 10 – 2 . ⁵log 2
= 2 (⁵log (10/2))
= 2 . ⁵log 5
= 2 . 1
= 2

5log9 x 3log10 – 5log4
= 5log3² x 3log10 – 5log2²
= 2 x 5log3 x 3log10 – 2 x 5log2
= 2 x 5log10 – 2 x 5log2
= 2 x 5log(10/2)
= 2 x 5log5
= 2 x 1 = 2

sifat² logaritma yg digunakan
$a log_{ a} = 1 \ a log_{ {a}^{b} } = b times a log_{a} \ a log_{b} - a log_{c} = a log( frac{b}{c} )$
semoga membantu