Шпаргалки по математике (логарифмы, тригонометрия) (Шпаргалка)

--------------------------------------------------------------------
logax=logbx/logba
logax=1/logxa
--------------------------------------------------------------------
      (a, если a(0
|a|=(
      (-a, если a<0
--------------------------------------------------------------------
|f(x)|=g(x)
1 способ  1) (f(x)(0     2)(f(x)<0
                    (                   (
                     (f(x)=g(x)    (-f(x)=g(x)
2 способ 1) (g(x)(0     2)(g(x) (0
                    (                   (
                     (f(x)=g(x)    (f(x)=-g(x)
--------------------------------------------------------------------
|f(x)|=a
                 (f(x)=a
|f(x)|=a( (          , если a(0
                 (f(x)=-a
|f(x)|=a не имеет смысла, если a<0
--------------------------------------------------------------------
                       (f(x)>g(x)
|f(x)|>g(x) ( (
                       (f(x)<-g(x)
                       (f(x)-g(x)
--------------------------------------------------------------------
А. (f(x)(g(x)  ОДЗ: f(x)(0
1) (f(x)=g2(x)           2) (g(x)<0
    (                               (
     (g(x) (0                   (x-любое
Б. (f(x)(g(x)     ОДЗ: f(x)(0
1) (g(x) (0               2) (g(x)<0
    (                               (
     (f(x) (g2(x)              ( (
--------------------------------------------------------------------
                     (a>1, b>1
logab>0  (  (
                     (a<1, b<1
                     (a>1, b<1
logab<0  (  (
                     (a<1, b>1