Задание 4.10

4.10. Решите уравнение: 1) log 6x = 2; 2) log 53x = 3 2;
3) log 0,2x = 3;

4) log x6 = 5; 5) log x81 = 4

6) log x11 = 1.

Answers

1) log 6x = 2
62 = x
x = 36
2) log 53x = 3 2

(53)3 2 = x
x = (51 3 ) 3 2
x = 51 2
x = 5
3) log 0,2x = 3
0,23 = x
x = 53
x = 125
4) log x6 = 5

x5 = 6
x = 65
5) log x81 = 4
x4 = 81
x = 814
x = 3
6) log x11 = 1

x1 = 11
x = 1 11

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2022-01-02 14:25
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