3)log(4)(x+2)=2log(0,25)5-1
log(4)(x+2)=log(0,25)25-log(0,25)0,25
log(4)(x+2)=log(0,25)100
log(4)(x+2)=log(4)0,01
x+2>0⇒x>-2
x+2=0,01
x=0,01-2
x=-1,99
5)log²(0,1)(10x)-2log(0,01)x=88
(log(0,1)x-1)²-log(0,1)x-88=0
log²(0,1)x-2log(0,1)x+1-log(0,1)x-88=0
log(0,1)x=a
a²-3a-87=0
D=9+248=357
a1=(3-√357)/2⇒log(0,1)x=(3-√357)/2⇒x=
![10 ^{( \sqrt{357}-3)/2 }](https://tex.z-dn.net/?f=10+%5E%7B%28+%5Csqrt%7B357%7D-3%29%2F2+%7D+)
a2=(3+√357)/2⇒log(0,1)x=(3+√357)/2⇒x=
![10 ^{-(3+ \sqrt{357})/2 }](https://tex.z-dn.net/?f=10+%5E%7B-%283%2B+%5Csqrt%7B357%7D%29%2F2+%7D+)