вправа 4.9 гдз 11 клас алгебра Істер 2019
Вправа 4.9
Умова:
Обчисліть:
1) log71/7; 2) log31/27; 3) log51/25; 4) lg0,0001;
5) log√55; 6) log1/525; 7) log17√17; 8) lg100√10.
1) log71/7; 2) log31/27; 3) log51/25; 4) lg0,0001;
5) log√55; 6) log1/525; 7) log17√17; 8) lg100√10.
Відповідь:
1) log71/7 = log77-1 = -1;
2) log31/27 = log33-3 = -3;
3) log51/25 = log55-2 = -2;
4) lg0,0001 = lg10-4 = -4;
5) log√55 = 2log55 = 2;
6) log1/525 = log5-152 = -2;
7) log17√17 = log17171/2 = 0,5;
8) lg100√10 = lg102 + lg101/2 = 2 + 1/2 = 2,5.
2) log31/27 = log33-3 = -3;
3) log51/25 = log55-2 = -2;
4) lg0,0001 = lg10-4 = -4;
5) log√55 = 2log55 = 2;
6) log1/525 = log5-152 = -2;
7) log17√17 = log17171/2 = 0,5;
8) lg100√10 = lg102 + lg101/2 = 2 + 1/2 = 2,5.