Question

Помогите срочно!!!!!!!!!!!

Answer 1

1) 2^(2x-11) =1/32 ;
2^(2x-11) =2^(-5) ;
2x-11 = - 5 ;
2x =-5+11 ;
2x = 6;
x=3.
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2) (1/4)^(x-6) =1/64 ;
(1/4)^(x-6) =(1/4 )³ ;
x-6 =3 ;
x=9.
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3) Loq_2  (7+x) =2 ;
x+7 =2⁷ ;
x+7 =128 ;
x=121.
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4) Loq_5 (1-x) =Loq_5 4 ;
1-x =4 ;
1-4 =x;
x =- 3.
5) Loq_(x-2)  25 =2;
Loq_(x-2)  5² =2;
2*Loq_(x-2)  5 =2;
Loq_(x-2)  5 =1;
x-2 =5 ;
x=7.
6) Loq_10 (10+x) =Loq_15 (10+x) ;
10+x =1 ;
x = - -9.
7) 14 ^(5+2x) =15 ^(5+2x) ;
14 ^(5+2x) / 15 ^(5+2x)  = 1 ;
(14 /15)^(5+2x)  =(14 /15) ⁰ ;
5+2x =0 ;
2x =-5 ;
x = - 5/2 ;
x = -2,5.