Question

log5(x^2-2x)/log5 x^4<=0,25

Answer 1

$frac{log_{5}( x^{2}-2x) }{ log_{5} x^{4} } leq 0.25$
$log_{5}( x^{2}-2x) leq 0.25 log_{5} x^{4}$
$log_{5}( x^{2}-2x) leq log_{5}x$
x²-2x>0; x<0; x>2
x>0;
x²-2x≤x; x²-3x≤0; 0≤x≤3
x∈(2;3]