Question

rezolvati ecuatia logaritmica:

log in baza x din (3x^2 -5x) =1

Answer 1

        
$log_{x}( x^{2} -5x)=1 \\ \text {Folosim formula urmatoare:} \\ log_{a}b=c\;\;\;\; =>\;\;\;\;a^{c}=b \\ \\ =>x^{1}= x^{2} -5x \\ x^{2} -5x-x=0 \\ x^{2} -6x=0 \\ x(x-6)=0 \\ x_{1} = \boxed{0} \\ x_{2}=\boxed{6}$