Найдите область определения функции: 1)f(x)= log1/4(2-x) 2)f(x)=log2, 5(5-2x) 3)f(x)=log5(11-4x) 4)f(x)=log7(6-5x)

0:\; \; t^2+3t-4=0\; \; ,\; \; t_1=1\; ,\; t_2=-4\; \; (teorema\; Vieta)\\\\5^{y}=1\; \; \to \; \; 5^{y}=5^0\; \; ,\; \; \underline {y=0}\\\\lgx=3-2y+5^{y}=3-2\cdot 0+1=4\; \; ,\; \; lgx=4\; \; \to \; \; \underline {x=10^4}\\\\Otvet:\; \; (10000\, ,\, 0)\; ." class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=t%3D5%5E%7By%7D%3E0%3A%5C%3B%20%5C%3B%20t%5E2%2B3t-4%3D0%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20t_1%3D1%5C%3B%20%2C%5C%3B%20t_2%3D-4%5C%3B%20%5C%3B%20%28teorema%5C%3B%20Vieta%29%5C%5C%5C%5C5%5E%7By%7D%3D1%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%205%5E%7By%7D%3D5%5E0%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20%5Cunderline%20%7By%3D0%7D%5C%5C%5C%5Clgx%3D3-2y%2B5%5E%7By%7D%3D3-2%5Ccdot%200%2B1%3D4%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20lgx%3D4%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5Cunderline%20%7Bx%3D10%5E4%7D%5C%5C%5C%5COtvet%3A%5C%3B%20%5C%3B%20%2810000%5C%2C%20%2C%5C%2C%200%29%5C%3B%20." title="t=5^{y}>0:\; \; t^2+3t-4=0\; \; ,\; \; t_1=1\; ,\; t_2=-4\; \; (teorema\; Vieta)\\\\5^{y}=1\; \; \to \; \; 5^{y}=5^0\; \; ,\; \; \underline {y=0}\\\\lgx=3-2y+5^{y}=3-2\cdot 0+1=4\; \; ,\; \; lgx=4\; \; \to \; \; \underline {x=10^4}\\\\Otvet:\; \; (10000\, ,\, 0)\; .">

0:\; \; t^2+3t-4=0\; \; ,\; \; t_1=1\; ,\; t_2=-4\; \; (teorema\; Vieta)\\\\5^{y}=1\; \; \to \; \; 5^{y}=5^0\; \; ,\; \; \underline {y=0}\\\\lgx=3-2y+5^{y}=3-2\cdot 0+1=4\; \; ,\; \; lgx=4\; \; \to \; \; \underline {x=10^4}\\\\Otvet:\; \; (10000\, ,\, 0)\; ." class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=t%3D5%5E%7By%7D%3E0%3A%5C%3B%20%5C%3B%20t%5E2%2B3t-4%3D0%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20t_1%3D1%5C%3B%20%2C%5C%3B%20t_2%3D-4%5C%3B%20%5C%3B%20%28teorema%5C%3B%20Vieta%29%5C%5C%5C%5C5%5E%7By%7D%3D1%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%205%5E%7By%7D%3D5%5E0%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20%5Cunderline%20%7By%3D0%7D%5C%5C%5C%5Clgx%3D3-2y%2B5%5E%7By%7D%3D3-2%5Ccdot%200%2B1%3D4%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20lgx%3D4%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5Cunderline%20%7Bx%3D10%5E4%7D%5C%5C%5C%5COtvet%3A%5C%3B%20%5C%3B%20%2810000%5C%2C%20%2C%5C%2C%200%29%5C%3B%20." title="t=5^{y}>0:\; \; t^2+3t-4=0\; \; ,\; \; t_1=1\; ,\; t_2=-4\; \; (teorema\; Vieta)\\\\5^{y}=1\; \; \to \; \; 5^{y}=5^0\; \; ,\; \; \underline {y=0}\\\\lgx=3-2y+5^{y}=3-2\cdot 0+1=4\; \; ,\; \; lgx=4\; \; \to \; \; \underline {x=10^4}\\\\Otvet:\; \; (10000\, ,\, 0)\; .">