Pertanyaan

Jika 4 lo g 6 = m + 1 , maka 9 lo g 8 = ...

Jika $^{4} lo g 6 = m + 1$ , maka $^{9} lo g 8 = ...$

$fraction numerator 3 over denominator 2 m plus 4 end fraction$
$fraction numerator 3 over denominator 4 m plus 2 end fraction$
$fraction numerator 3 over denominator 4 m minus 2 end fraction$
$fraction numerator 3 over denominator 2 m minus 4 end fraction$
$fraction numerator 3 over denominator 2 m plus 2 end fraction$

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Maka:

$space space space space space space space space space space space space space space space to the power of 4 log space 6 equals m plus 1 space space space space space space space space space space space space space space fraction numerator blank squared log space 6 over denominator blank squared log space 4 end fraction equals m plus 1 fraction numerator blank squared log space 3 plus squared log space 2 over denominator 2 end fraction equals m plus 1 space space squared log space 3 plus squared log space 2 equals 2 open parentheses m plus 1 close parentheses space space space space space space space space space space squared log space 3 plus 1 equals 2 m plus 2 space space space space space space space space space space space space space space space space squared log space 3 equals 2 m plus 1$

Maka:

$blank to the power of 9 log space 8 equals fraction numerator blank squared log space 8 over denominator blank squared log space 9 end fraction equals fraction numerator blank squared log space 2 cubed over denominator blank squared log space 3 squared end fraction equals fraction numerator 3 space squared log space 2 over denominator 2 space squared log space 3 end fraction equals fraction numerator 3 over denominator 2 open parentheses 2 m plus 1 close parentheses end fraction equals fraction numerator 3 over denominator 4 m plus 2 end fraction$