1)㏒₆х=1-㏒₆3
㏒₆х+㏒₆3=1
㏒₆3·х=1
6¹=3х
х=2
2) ㏒₂х+㏒₄х+㏒₈х=11
㏒₂х+1/2(㏒₂х)+1/3(㏒₂х)=11
11/6(㏒₂х)=11
㏒₂х=6
2⁶=х
х=64
3)㏒₁₀х=2-㏒₁₀5
㏒₁₀х+㏒₁₀5=2
㏒₁₀5х=2
10²=5х
100=5х
х=20
4)㏒₁₀(2х-3)=-1
10⁻¹=2х-3
1/10=2х-3
5)㏒₁₀(2х-3)=-1
㏒₁₀(2х-3)=-㏒₁₀10
㏒₁₀(2х-3)+㏒₁₀10=0
㏒₁₀(2х-3)·10=0
10⁰=(2х-3)·10
1=20х-30
31=20х
х=31÷20=1.55
х=1.55
5) ㏑(4-7х)=0
e⁰=1
1=4-7x
7x=3
x=3/7
Y`=3x²+12x-15
3(x²+4x-5)=0
x1+x2=-4 U x1*x2=-5
x1=-5 U x2=1
+ _ +
-----------(-5)---------------(1)-----------------
max min
2x³(x-2)+7x²(x-2)+4x(x-2)+3(x-2)=0
(x-2)(2x³+7x²+4x+3)=0
(x-2)[2x²(x+3)+x(x+3)+1(x+3)]=0
(x-2)(x+3)(2x²+x+1)=0
x-2=0
x=2
x+3=0
x=-3
2x²+x+1=0
D=1-8=-7<0 нет решения
Ответ х=2,х=-3
<span>(0,5x^2-3xy)+(3xy-x^2+2)=0,5х^2-x^2+2=-0.5x^2+2
-0.5*2^2+2=-2+2=0
</span>