Show that f(x) = loga x, 0 a 1 is a decreasing function for all x - Maths -

Question

Show that f(x) = log a
x, 0 < a < 1 is a decreasing function for
all x > 0

Global Expert · Accepted Answer

fx=loga x =log xlog af'x=1x log aSince 00, f'x=1x log a<0 So, fx is decreasing for all x>0

Show that f(x) = log a x, 0 < a < 1 is a decreasing function for all x > 0.