Задание 4.9

4.9. Решите уравнение: 1) log 7x = 1

2) log 4x = 1 2
3) log 3x = 6 4) log 2x = 0;
5) log x9 = 2;

6) log x0,25 = 2;
7) log x2 = 2; 8) log x5 = 1 3.

Answers

1) log 7x = 1
71 = x
x = 1 7
2) log 4x = 1 2

41 2 = x
x = 2
3) log 3x = 6
36 = x
x = 33
x = 27

4) log 2x = 0
20 = x
x = 1.
5) log x9 = 2
x2 = 9
x = 3 (x3, т.к. x > 0)
6) log x0,25 = 2

x2 = 1 4
x = 2
7) log x2 = 2
x2 = 2
x = 2 (x2, т.к. x > 0)
newline 8) log x5 = 1 3
x1 3 = 5
x = 53
x = 125

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2022-01-02 15:17
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