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khadisha00
@khadisha00
July 2022
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lg(x+6) + lg(x-6)-=lg45 Решите уравнение
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MrsVaderr
Verified answer
Lg(x+6)+lg(x-6)=lg45
ОДЗ: х>6
По свойству логарифмов:
lg(x+6)(x-6)=lg45
x^2-36=45
x^2=81
x1=-9 - посторонний корень (-9<6)
x2=9
Ответ: 9
1 votes
Thanks 2
mikael2
Verified answer
Lg(x+6)+lg(x-6) = lg 45 x>6
lg(x+6)(x-6)=lg 45
x²-36=45 x²=81 x=-9 <6 не подходит
х=9
1 votes
Thanks 1
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Answers & Comments
Verified answer
Lg(x+6)+lg(x-6)=lg45ОДЗ: х>6
По свойству логарифмов:
lg(x+6)(x-6)=lg45
x^2-36=45
x^2=81
x1=-9 - посторонний корень (-9<6)
x2=9
Ответ: 9
Verified answer
Lg(x+6)+lg(x-6) = lg 45 x>6lg(x+6)(x-6)=lg 45
x²-36=45 x²=81 x=-9 <6 не подходит
х=9