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Rezolvati in multimea nr reale ec: lgx/lg(5x-4)=1/2

Răspuns :

Veronica0
lgx=1/2lg(5x-4)
C.E. x>0, x ∈(0,∞)
5x-4>0,  5x>4, x>4/5, X∈(4/5,∞)
X∈(0,∞)∧(4/5,∞),
D=(4/5,∞)
lgx=lg(5x-4)^1/2
lgx=lg√(5x-4)
x=√(5x-4) |²
x^2=5x-4
x^2-5x+4=0
rezolvi ecuatia si afli solutiile




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