The Total solution for NCERT class 6-12
Prove that thefunction f(x) = loge┬аxis increasing on (0, тИЮ).
Let x1,x2┬атИИ (0, тИЮ)
We have,┬аx1┬а2
тЗТ┬аloge┬аx1┬а< loge┬аx2
тЗТ┬аf(x1) < f (x2)
So,┬аf(x) is increasing in (0, тИЮ)