Question

log (x^2-4x+5) to the base 2 is greater than 1

Answer 1

x^2 - 4x + 5 should be greater then 2 for Log (x^2-4x+5) to be greater then 1

x^2 -4x + 5 > 2

solving ablove inequality we get

x belongs -infiniity to 1 union 3 to infinity