3^-32*3^-18 / 4*3^-43 = 3^11*3^-18/4 = 3^-7/4 = 1/8748
4)
![9=3^{2}; 3^{ 2^{2 log_{}7 }};](https://tex.z-dn.net/?f=%209%3D3%5E%7B2%7D%3B%20%203%5E%7B%202%5E%7B2%20log_%7B%7D7%20%7D%7D%3B)
так как
![x^{ a^{b} }= x^{ab}](https://tex.z-dn.net/?f=%20x%5E%7B%20a%5E%7Bb%7D%20%7D%3D%20x%5E%7Bab%7D%20%20)
то
![3^{ 2^{2 log_{}7 }}= 3^{4 log_{3}7} = 3^{ (log_{3}7)^{4}}=7^{4}](https://tex.z-dn.net/?f=3%5E%7B%202%5E%7B2%20log_%7B%7D7%20%7D%7D%3D%203%5E%7B4%20log_%7B3%7D7%7D%20%3D%203%5E%7B%20%28log_%7B3%7D7%29%5E%7B4%7D%7D%3D7%5E%7B4%7D)
ответ в)
5)
![(\frac{1}{9})^{2x-5} = 3^{5x+10}; \frac{1}{9} =9^{-1} ; (9^{-1})^{2x-5}=(9)^{5-2x}=(9)^{5}*(9)^{-2x}=(3)^{10}*(3)^{-4x}; ](https://tex.z-dn.net/?f=%20%20%28%5Cfrac%7B1%7D%7B9%7D%29%5E%7B2x-5%7D%20%3D%203%5E%7B5x%2B10%7D%3B%20%20%5Cfrac%7B1%7D%7B9%7D%20%3D9%5E%7B-1%7D%20%3B%20%0A%289%5E%7B-1%7D%29%5E%7B2x-5%7D%3D%289%29%5E%7B5-2x%7D%3D%289%29%5E%7B5%7D%2A%289%29%5E%7B-2x%7D%3D%283%29%5E%7B10%7D%2A%283%29%5E%7B-4x%7D%3B%20%0A)
ответ б)
6) (x+1)=3x; 2x=1; x=0.5 x/2=0.25 Ответ б)
7) 2x+5=0.2; x=-2.4; Ответ: б)
9) (x+2)>0.2^-2; (x+2)>25; x>23; x(max)=24; Ответ: а)
10) log3(9b)=log3(9)+log3(b)=2+5=7; Ответ: в)
1)-sina*sina/tga*sina=-sina:sina/cosa=-sina*cosa/sina=-cosa
2)cosa+cosa-tga+tga=2cosa