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1)
![(frac{1}{3})^{log_3(4)}=3^{-log_3(4)}=frac{1}{3^{log_3(4)}}=frac{1}{4}=0,25 (frac{1}{3})^{log_3(4)}=3^{-log_3(4)}=frac{1}{3^{log_3(4)}}=frac{1}{4}=0,25](https://tex.z-dn.net/?f=%28frac%7B1%7D%7B3%7D%29%5E%7Blog_3%284%29%7D%3D3%5E%7B-log_3%284%29%7D%3Dfrac%7B1%7D%7B3%5E%7Blog_3%284%29%7D%7D%3Dfrac%7B1%7D%7B4%7D%3D0%2C25)
2)
![frac{2}{3}*lg(10^{-3})+lg(10^{frac{4}{3}})-frac{2}{9}*lg(10^{frac{3}{2}})=-2+frac{4}{3}-frac{1}{3}=-2+1=-1 frac{2}{3}*lg(10^{-3})+lg(10^{frac{4}{3}})-frac{2}{9}*lg(10^{frac{3}{2}})=-2+frac{4}{3}-frac{1}{3}=-2+1=-1](https://tex.z-dn.net/?f=frac%7B2%7D%7B3%7D%2Alg%2810%5E%7B-3%7D%29%2Blg%2810%5E%7Bfrac%7B4%7D%7B3%7D%7D%29-frac%7B2%7D%7B9%7D%2Alg%2810%5E%7Bfrac%7B3%7D%7B2%7D%7D%29%3D-2%2Bfrac%7B4%7D%7B3%7D-frac%7B1%7D%7B3%7D%3D-2%2B1%3D-1)
3)
![log_2(x^2)=2log_2(x)<br />\2log_2(x)=3<br />\log_2(x)=1,5<br />\4log_2(x)=4*1,5=6 log_2(x^2)=2log_2(x)<br />\2log_2(x)=3<br />\log_2(x)=1,5<br />\4log_2(x)=4*1,5=6](https://tex.z-dn.net/?f=log_2%28x%5E2%29%3D2log_2%28x%29%26lt%3Bbr+%2F%26gt%3B%5C2log_2%28x%29%3D3%26lt%3Bbr+%2F%26gt%3B%5Clog_2%28x%29%3D1%2C5%26lt%3Bbr+%2F%26gt%3B%5C4log_2%28x%29%3D4%2A1%2C5%3D6)
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