Решение
(y + 3)⁴ = y⁴ + 12y³ + 54y² + 108y + 81
X^3+x^2-4x-4=0
x^2*(x+1)-4(x+1)=0
(x+1)*(x^2-4)=0
x+1=0 x^2-4=0
x=-1 x^2=4
x=2 x=-2
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㏒6(㏒7(
)) + 9㏒8(
)=
㏒6(㏒7(
)) + 9㏒2^3(
)=
㏒6(1/6*㏒7(7)) + 9(4/3*3)㏒2(2)=㏒6(1/6*1) + 4*1=-1 + 4= 3
2) ![18^{\frac{1}{1+log9(2)}}=18^{\frac{1}{log9(9)+log9(2)}}=18^{\frac{1}{log9(9*2)}}=18^{\frac{1}{log9(18)}}=18^{log18(9)}=9](https://tex.z-dn.net/?f=18%5E%7B%5Cfrac%7B1%7D%7B1%2Blog9%282%29%7D%7D%3D18%5E%7B%5Cfrac%7B1%7D%7Blog9%289%29%2Blog9%282%29%7D%7D%3D18%5E%7B%5Cfrac%7B1%7D%7Blog9%289%2A2%29%7D%7D%3D18%5E%7B%5Cfrac%7B1%7D%7Blog9%2818%29%7D%7D%3D18%5E%7Blog18%289%29%7D%3D9)
3) log√3(5)*log25(6)*log6(27)=
log
(5)*log
(6)*log6(
)=
2*2*3log3(5)*log5(6)*log6(3)=12log3(5)*log5(6)*log6(3)=
12log3(5)*log5(6)*(log5(3)/log5(6))=12log3(5)*log5(3)=
12log3(5)*(1/log3(5))=12