Sederhanakanlah ... 1. 2 log 4 +2 log12 - 2 log6 2. 2 log2 +2 log3-2 log6-2 log8.... Question from @radhiatul08

October 2018 2 30 Report

Sederhanakanlah ...
1. 2 log 4 +2 log12 - 2 log6
2. 2 log2 +2 log3-2 log6-2 log8

sellayurika 2 log ( 4 x12 : 6 ) = 2 log 8 = 2 log 2 pangkat 3 = 3 ( 2 sama 2 dicoret jd tinggal 3)

0 votes Thanks 1

ImmanuelSinaga $$\begin{align} 1)~~\underbrace{^2log4~+~^2log~12~-~^2log~6}_{sifat~logaritma}~~&=~~^2log~\left(\frac{4\times12}{6}\right) \\ &=~~^2log~8 \\ &=~~^2log~2^3 \\ &=~~3\end{align}$

$$\begin{align} 2)~~\underbrace{^2log~2~+~^2log~3~-~^2log~6~-~^2log~8}_{sifat~~:~~^alog~b~+atau-~^alog~c~=~^alog~bc~atau~^alog~\frac{b}{c}} &=^2log~\left(2\times3:6:8\right) \\ &=^2log~\frac{1}{8} \\ &=^2log~(2^{-3}) \\ &=-3\end{align}$

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