1) кор(3x+1) - кор(x+1) = 2
кор(3x+1) = кор(x+1) + 2
3x + 1 = x + 1 + 4*кор(x+1) + 4
3x + 1 - x - 1 - 4 = 4*кор(x+1)
2x - 4 = 4*кор(x+1)
4x^2 - 16x + 16 = 16(x+1)
4x^2 - 16x + 16 = 16x + 16
4x^2 - 32x = 0
4x*(x-8)=0
x = 0 или x=8
2) <span>8^1/3 = 2
3) </span><span>6^3 - x = 216
216 - x = 216
x = 0
4) </span><span>(0,2)^(x^2-3х) > 25
</span>(1/5)^(x^2-3х) > 25
(5)^-(x^2-3х) > 5^2
-x^2-3х > 2
-x^2-3x-2 > 0
x^2 + 3x + 2 < 0
D = 9 - 4*2 = 1
x1,2 = (-3±1)/2 = -2 и -1
x принадлежит (-2;-1)
5)
<span>log5 1\25 = 1/2
log8 16 = 2
log1\3 1\27 = 3
6)
7)
3^2 = 2x+1
9 = 2x + 1
2x = 8
x = 4</span>
Log(9-4x)144=2
{9-4x>0
{9-4x≠1
{-4x>-9
{-4x≠-9+1
{x<9/4
{x≠2
х€(-бес;2)+(2;9/4) это ОДЗ
144=(9-4x)²
|9-4x|=12
1)9-4x=12;4x=-3;x=-3/4
2)9-4x=-12;-4x=-21;x=21/4
ответ х=-3/4
<span>а)3 7/9-2=1 7/9
б)3 1/3:1 1/9=10/3*9/10=3
в)3 1/5*3 3/4=16/5*15/4=12
г)7/12+3/4=7/12+9/12=16/12=4/3=1 1/3
к)2 1/2*1,44</span>=2,5*1,44=3,6