4
log(a)b=log(c)b/log(c)a
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log(5)x^9/log(5)125-log(5)5/log(5)x +2=0
9/3*log(5)x-1/log(5)x +2=0
3log²(5)x+2log(5)x-1=0,log(5)x≠0
log(50x=a
3a²+2a-1=0
D=4+12=16
a1=(-2-4)/6=-1⇒log(5)x=-1⇒x=1/5
a2=(-2+4)/6=1/3⇒log(5)x=1/3⇒x=∛5
5
{(1/36)^-y²=6^(2x+4)⇒6^2y²=6^(2x+4)⇒2y²=2x+4
{log(4)(2y²-2x+4)=6^log(6)(3lg∛10) +log(4)(x+1)
log(4)(2x+4-2x+4)=3lg∛10+log(4)(x+1)
log(4)8=3*1/3*1+log(4)(x+1)
1,5=1+log(4)(x+1)
log(4)(x+1)=0,5
x+1=2
x=1
2y²=6
y²=3
y=-√3 U y=√3
(1;-√3);(1;√3)