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Wildan Bagus W

Bentuk yang lebih sederhana

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On 31/12/2017 at 11:35 AM, Muhammad Alfatih said:

1/4

Pangkatnya dituker, terus berlaku sifat invers, sisanya tinggal 4 pangkat -1 

 

Bisa ditulis saja? Soalnya saya kdng  lupa kdng ingat kalau sifat logaritma.  Klo di buku OSN SMP ku kyknya ada, tp saya sdng di luar kota dan bukunya gk kebawa

Edited by Wildan Bagus W

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\begin{align*}\left(\frac{1}{2015}\right)^{\log_{2015}4}&=\left(2015^{-1}\right)^{\log_{2015}4}\\&=\left(2015^{\log_{2015}4}\right)^{-1}\rightarrow\text{sifat eksponen}\\&=4^{-1}\rightarrow\text{sifat logaritma }a^{\log_{a}b}=b\\&=\boxed{\frac{1}{4}}.\end{align*}

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