The Total solution for NCERT class 6-12
Prove that thefunction f(x) = loge xis increasing on (0, ∞).
Let x1,x2 ∈ (0, ∞)
We have, x1 2
⇒ loge x1 < loge x2
⇒ f(x1) < f (x2)
So, f(x) is increasing in (0, ∞)