Log₂(3x-1)=log₂(x-3)+log₂5
log₂(3x-1)=log₂(5x-15)
3x-1=5x-15
2x=14
x=7.
= 9(d²-b) / -c³(d²-b) = -9/c³ = -9/27 = -1/3
9y+9-y³-y²=0
9(y+1)-y²(y+1)=0
(y+1)(9-y²)=0
(y+1)(3-y)(3+y)=0
y+1=0 или 3-y=0 или 3+y=0
y₁=-1 y₂=3 y₃=-3
1. a) 2y²+4y
b) 9y²x+3y^3x
2. a) (a-3)²=a²-6a+9
b) 36x^4+12х²y²+y^4
3.
3z^3+(z-1)(z+1)(z+1)=
=3*27+(3-1)(3+1)(3+1)=
=81+2*4*4=81+32=113
B₈=5/3¹²;b₁₄=5/3⁶;S₁₁=?;
b₈=b₁q⁷;
b₁₄=b₁q¹³;
b₁₄/b₈=q¹³⁻⁷=q⁶;
q=⁶√(5/3¹² :5/3⁶)=⁶√(1/3⁶)=1/3;
b₁=b₈/q⁷=5/3¹² :1/3⁷=5/3¹²⁻⁷=5/3⁵;
S₁₁=b₁(1-q¹¹)/(1-q);
S₁₁=5/3⁵·(1-1/3¹¹)/(1-1/3)=5/3⁵·(3¹¹-1)/3¹¹ :(2/3)=
=5·(3¹¹-1)·3/3⁵·3¹¹·2=5·(3¹¹-1)·3¹⁻⁵⁻¹¹·2⁻¹=5·(3¹¹-1)·3⁻¹⁵2⁻¹;