1) Область определения логарифма{ x > 0; x =/= 1{ x^2 + 2x - 3 = (x + 3)(x - 1) > 0Отсюда{ x > 0; x =/= 1{ x < -3 U x > 1В итоге: x > 1 Это значит, что логарифм по основанию х - возрастающий.Кроме того, если x^2 + 2x - 3 > 0. то x^2 + 2x - 2 тоже > 0 2) Теперь решаем само неравенство По одному из свойств логарифмов Причем новое основание с может быть каким угодно, например, 10. Замена Поскольку x > 1, то lg (x) > 0, поэтому при умножении на знаменатель знак неравенства не меняется. Единственное решение уравнения: y = 2, тогда y + 2 = 4, y^2 + 1 = 5.Решение неравенства: y >= 2
x ∈ (-oo; -1-2√2] U [-1+2√2; +oo)Но по области определения x > 1ответ: x ∈ [-1+2√2; +oo) Подробнее - на -
Это значит, что логарифм по основанию х - возрастающий.Кроме того, если x^2 + 2x - 3 > 0. то x^2 + 2x - 2 тоже > 0
2) Теперь решаем само неравенство
По одному из свойств логарифмов
Причем новое основание с может быть каким угодно, например, 10.
Замена
Поскольку x > 1, то lg (x) > 0, поэтому при умножении на знаменатель знак неравенства не меняется.
Единственное решение уравнения: y = 2, тогда y + 2 = 4, y^2 + 1 = 5.Решение неравенства: y >= 2
x ∈ (-oo; -1-2√2] U [-1+2√2; +oo)Но по области определения x > 1ответ: x ∈ [-1+2√2; +oo)
Подробнее - на -
阿迪爾汗
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom
is my mother. She has baked a delicious strawberry pie.
are my grandparents. They are riding bikes.
is our house. I can see it from here.
are my parents. My Mom’s name is Ann and my father’s name is Tom