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Jika diketahui log3 = p dan log7 = q, maka nilai dari log44,1 adalah ....

Pertanyaan

Jika diketahui log3 = p dan log7 = q, maka nilai dari log44,1 adalah ....

  1. 2(p+q)-1

  2. 2p+q-1

  3. p+2q-1

  4. 2(p+q)+1

  5. 2p+q+1

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

Diketahui

begin mathsize 14px style log 3 space equals space straight p space dan space log 7 space equals space straight q  left right double arrow log 44 comma 1 equals log 441 over 10  space space space space space space space space space space space space space space space space space equals equals space log 441 space minus space log 10 space  space space space space space space space space space space space space space space space space space equals space log left parenthesis 9 space straight x space 49 space right parenthesis space minus space log 10  space space space space space space space space space space space space space space space space space equals space log 9 space plus space 1 og 49 space minus space log 10  space space space space space space space space space space space space space space space space space equals log 3 squared plus space log 7 squared minus 1  space space space space space space space space space space space space space space space space space equals space 21 og 3 space plus space 21 og 7 space minus space 1 space  space space space space space space space space space space space space space space space space space equals space 2 straight p space plus space 2 straight q space minus space 1 space  space space space space space space space space space space space space space space space space space equals space 2 left parenthesis straight p plus straight q right parenthesis space minus space 1 end style

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