Question

I’m confused. Please help?

Answer 1

Explanation:

`f(x) = \log_a x`

`(f(x + h) - f(x))/(h) =`

`= (log_a(x + h) - \log_a x)/(h)`

`= (log_a (x + h)/(x))/(h)`

`= (1)/(h)log_a ( 1 + (h)/(x) )`

`= log_a ( 1 + (h)/(x) )^{(1)/(h)}`