Решить 3 уравнения 10-11 кл
1. [tex]ctg x =23[/tex]
2. [tex]6^{5x-7} =216[/tex]
3. [tex]log_7(5x-1)=2[/tex]
1. [tex]ctg x =23[/tex]
2. [tex]6^{5x-7} =216[/tex]
3. [tex]log_7(5x-1)=2[/tex]
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Answers & Comments
x=arcctg 23+pik, k e Z
2)6^(5x-7)=216
6^(5x-7)=6^3
5x-7=3
5x=10
x=2
3)log7(5x-1)=2
ОДЗ: 5x-1>0; 5x>1; x>1/5
log7(5x-1)=log7(49)
5x-1=49
5x=50
x=10