1
x>0
log(3)x=2+log(3)2
log(3)x=log(3)18
x=18
2
x>0
-log(2)x-log(2)x=2
-2log(20x=2
log(20x=-1
x=0,5
3
x>0
log(5)x=a
3a²+a-4=0
D=1+48=49
a1=(-1-7)/6=-4/3⇒log(5)x=-4/3⇒1/5∛5
a2=(-1+7)/6=1⇒log(50x=1⇒x=5
4
x>-3
log(3)log(2)(x+3)=1
log(2)(x+3)=3
x+3=8
x=5
5
x>-1
log(1/2)(x²+x)=1
x²+x=0,5
2x²+2x-1=0
D=4+8=12
x1=(-2-2√3)/4=-0,5(1+√3) не удов усл
x2=0,5(√3-1)