Y=4x+3
y=4×2+3=11
y=4×3+3=15
y=4×9+3=39
y=4×11+3=47
1)
![(0,04^{log_{0,2}3}+333^{log_{ \sqrt{3} }1})^3=((0,2)^2^{log_{0,2}3}+333^0)^3=](https://tex.z-dn.net/?f=%280%2C04%5E%7Blog_%7B0%2C2%7D3%7D%2B333%5E%7Blog_%7B%20%5Csqrt%7B3%7D%20%7D1%7D%29%5E3%3D%28%280%2C2%29%5E2%5E%7Blog_%7B0%2C2%7D3%7D%2B333%5E0%29%5E3%3D)
![=((0,2)^{log_{0,2}9}+1)^3=(9+1)^3=10^3=1000](https://tex.z-dn.net/?f=%3D%28%280%2C2%29%5E%7Blog_%7B0%2C2%7D9%7D%2B1%29%5E3%3D%289%2B1%29%5E3%3D10%5E3%3D1000)
2) log_5 (175) - log_5 (7) = log_5 (175/7) = log_5 (25) = 2
3) log_5 (1/4) - 2log_5 (2/3) + log_5 (4/9) = log_5 (1/4:(2/3)^2*(4/9)) = -log_5 (4)
(2/3)^2 = 4/9, и они сокращаются.
log_5 (4) дальше не вычисляется, это иррациональное число.
4)
![7^{log_{ \sqrt[3]{7} }3}=7^{log_7(3^3)}=27](https://tex.z-dn.net/?f=7%5E%7Blog_%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D3%7D%3D7%5E%7Blog_7%283%5E3%29%7D%3D27)
5)
![\frac{2log^2_3(2)-log^2_3(18)-log_3(2)*log_3(18)}{2log_3(2)+log_3(18)}=A](https://tex.z-dn.net/?f=%20%5Cfrac%7B2log%5E2_3%282%29-log%5E2_3%2818%29-log_3%282%29%2Alog_3%2818%29%7D%7B2log_3%282%29%2Blog_3%2818%29%7D%3DA%20)
![log_3(18)=log_3(2*9)=log_3(2)+log_3(9)=log_3(2)+2](https://tex.z-dn.net/?f=log_3%2818%29%3Dlog_3%282%2A9%29%3Dlog_3%282%29%2Blog_3%289%29%3Dlog_3%282%29%2B2)
Подставляем
![A=\frac{2log^2_3(2)-(log_3(2)+2)^2-log_3(2)*(log_3(2)+2)}{2log_3(2)+log_3(2)+2}=](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B2log%5E2_3%282%29-%28log_3%282%29%2B2%29%5E2-log_3%282%29%2A%28log_3%282%29%2B2%29%7D%7B2log_3%282%29%2Blog_3%282%29%2B2%7D%3D)
![=\frac{2log^2_3(2)-(log^2_3(2)+4log_3(2)+4)-log^2_3(2)-2log_3(2)}{3log_3(2)+2}=](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2log%5E2_3%282%29-%28log%5E2_3%282%29%2B4log_3%282%29%2B4%29-log%5E2_3%282%29-2log_3%282%29%7D%7B3log_3%282%29%2B2%7D%3D)
![=\frac{-6log_3(2)-4}{3log_3(2)+2}=-2* \frac{3log_3(2)+2}{3log_3(2)+2} =-2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-6log_3%282%29-4%7D%7B3log_3%282%29%2B2%7D%3D-2%2A%20%5Cfrac%7B3log_3%282%29%2B2%7D%7B3log_3%282%29%2B2%7D%20%3D-2)
Узнаем стоимость желтой краски
28*4=112(руб)
Узнаем стоимость коричневой краски
206,5-112=94,5(руб.)
Узнаем ее вес
94,5:31,5 = 3(кг)
Коричневой краски купили 3 кг.
1)30+5=35
2)90+6=96
или что то не так
X^2-8x+17=0; D=b^2-4ac=64-68= - 4<0⇒решений нет
x^2-x+1=0; D=1-4=-3<0⇒ решений нет