Pertanyaan

Jika 8 lo g 5 = p , maka 16 lo g 10 = ....

Jika $_{8} lo g 5 = p$ , maka $_{16} lo g 10$ = ....

3p
4(3p + 1)
$begin mathsize 14px style fraction numerator 3 p plus 1 over denominator 4 end fraction end style$
$begin mathsize 14px style fraction numerator p plus 3 over denominator 4 end fraction end style$

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style log presubscript space presuperscript 8 space 5 equals log presubscript space presuperscript 2 cubed end presuperscript space 5 equals 1 third space log presubscript space presuperscript 2 space 5 1 third space log presubscript space presuperscript 2 space 5 equals p rightwards double arrow log presubscript space presuperscript 2 space 5 equals 3 p log presubscript space presuperscript 16 space 10 equals log presubscript space presuperscript 16 space 5 space. space 2 space space space space space space space space space space space space space equals log presubscript space presuperscript 16 space 5 plus log presubscript space presuperscript 16 space 2 space space space space space space space space space space space space space equals log presubscript space presuperscript 2 to the power of 4 end presuperscript space 5 plus log presubscript space presuperscript 2 to the power of 4 end presuperscript space 2 space space space space space space space space space space space space space equals 1 fourth log presubscript space presuperscript 2 space 5 plus 1 fourth log presubscript space presuperscript 2 space 2 space space space space space space space space space space space space space equals 1 fourth open parentheses 3 p close parentheses plus 1 fourth open parentheses 1 close parentheses space space space space space space space space space space space space space equals fraction numerator 3 p plus 1 over denominator 4 end fraction end style$