Pertanyaan

Jika a = 2 log 7 dan b = 7 log 3, maka nilai 21 log 28 jika dinyatakan dalam a dan b adalah ....

Jika a = ²log 7 dan b = ⁷log 3, maka nilai ²¹log 28 jika dinyatakan dalam a dan b adalah ....

$begin mathsize 14px style fraction numerator 2 plus straight a over denominator ab plus straight a end fraction end style$
$begin mathsize 14px style fraction numerator 2 plus straight a over denominator ab end fraction end style$

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style log presubscript straight space presuperscript 21 space 28 equals fraction numerator log presubscript straight space presuperscript 2 space 28 over denominator log presubscript straight space presuperscript 2 space 21 end fraction space space space space space space space space space space space space equals fraction numerator log presubscript straight space presuperscript 2 space left parenthesis 4 cross times 7 right parenthesis over denominator log presubscript straight space presuperscript 2 space left parenthesis 3 cross times 7 right parenthesis end fraction space space space space space space space space space space space space equals fraction numerator log presubscript straight space presuperscript 2 space 4 plus log presubscript straight space presuperscript 2 space 7 over denominator log presubscript straight space presuperscript 2 space 3 plus log presubscript straight space presuperscript 2 space 7 end fraction space space space space space space space space space space space space equals fraction numerator 2 plus log presubscript straight space presuperscript 2 space 7 over denominator log presubscript straight space presuperscript 2 space 7. straight space log presubscript straight space presuperscript 7 space 3 plus log presubscript straight space presuperscript 2 space 7 end fraction space space space space space space space space space space space space equals fraction numerator 2 plus straight a over denominator ab plus straight a end fraction end style$