S6 = (a1 + a6)·6/2 = (а1 + а1 + 5d)·3 = (2a1 +5d)·3
d=-1 1/3 - (-3 2/3) = -1 1/3 + 3 2/3 = 2 1/3 = 7/3
S6 = (2·(-3 2/3) + 5·7/3)·3 =(-22/3 + 35/3)·3 = 13/3·3 = 13
20
log²(5)x-2=3log(125)x
log²(5)x-2-log(125)x³=0
log(5³)x³=log(5)x
log²(5)x-log(5)x-2=0
log(5)x=a
a²-a-2=0
a1+a2=1 Ua1*a2=-2
a1=-1⇒log(5)x=-1⇒x=1/5
a2=2⇒log(5)x=2⇒x=25
21
log²(6)x+log(√6)x=log(0,5)2
log(√6)x=log(6)x/log(6)√6=log(6)x/(1/2)=2log(6)x
log(1/2)2=-1
log²(6)x+2log(6)x+1=0
(log(6)x+1)²=0
log(6)x+1=0
log(6)x=-1
x=1/6
22
log(2)x-2log(x)2=-1
ОДЗ: x>0 U x≠1
log(2)x-2log(2)2/log(2)x+1=0
log(2)x-2/log(2)x+1=0
log²(2)x+log(2)x-2=0
log(2)x=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒log(2)x=-2⇒x=1/4
a2=1⇒log(2)x=1⇒x=2
Нет решений...
b - a > 0
a - b < 0
1) а = 0, b = 6
a - b = -6
-6 не больше -4;
2) b-a > 0 то есть b - a не меньше -2
3) b = 6, a = 0; b - a = 6; 6 не меньше 4;
64^3 - 8^5 - 4^7 = ( 2^6 )^3 - ( 2^3 )^5 - (2^2 )^7 = 2^18 - 2^15 - 2^14 =
= 2^14 * ( 2^4 - 2 - 1 ) = 2^14 * ( 16 - 3 ) = 2^14 * 13
(x + 8)(x + 14)= x^2 + 22x + 112
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