Предмет:
МатематикаАвтор:
аноним52х+1 - 3*52х-1 = 550
1. Избавимся от сложной степени:
52х * 51 - 3 * 52х * 5-1 = 550
5 * 52х - 3 * 1/5 * 52х = 550
5 * 52х - 3/5 * 52х = 550
2. Вынесем 52х за скобку:
52х(5 - 3/5) = 550 (5 - 3/5 = 25/5 - 3/5 = 22/5)
52х * 22/5 = 550
3. Поделим уравнение на 22/5:
52х = 550 : 22/5
52х = 550 * 5/22 (= 50 * 5/2 = 25 * 5 = 125)
52х = 125
4. Представим число 125 как степень с основанием 5:
52х = 53
5. Знак равенства говорит о том, что степени равны.
2х = 3
6. Поделим обе части уравнения на 2:
х = 3 : 2 = 1,5
Ответ: х = 1,5
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