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Liyaa
@Liyaa
October 2021
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akatkint
1) 1/2*lg(x^2+x-5)=lg(5x)+lg(1/5x), 2)1/2*lg(x^2-4x-1)=lg(8x)-lg(4x),
1/2*lg(x^2+x-5)=lg(5x/5x) 1/2*lg(x^2-4x-1)=lg(8x/4x)
1/2*lg(x^2+x-5)=0 1/2*lg(x^2-4x-1)=lg2
lg(x^2+x-5)-lg1=0 lg(x^2-4x-1)=lg4
(10-1)(x^2+x-5)=0 (10-1)(x^2-4x-1-4)=0
x^2+x-5=0 x^2-4x-5=0
(x+3)(x-2)=0 (x-5)(x+1)=0
x1=-3, x2=2 x1=5, x2=-1.
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Answers & Comments
1/2*lg(x^2+x-5)=lg(5x/5x) 1/2*lg(x^2-4x-1)=lg(8x/4x)
1/2*lg(x^2+x-5)=0 1/2*lg(x^2-4x-1)=lg2
lg(x^2+x-5)-lg1=0 lg(x^2-4x-1)=lg4
(10-1)(x^2+x-5)=0 (10-1)(x^2-4x-1-4)=0
x^2+x-5=0 x^2-4x-5=0
(x+3)(x-2)=0 (x-5)(x+1)=0
x1=-3, x2=2 x1=5, x2=-1.