Question

I’m confused. Please help?

Answer 1

Step-by-step explanation:

$f(x) = \log_a x$

$\dfrac{f(x + h) - f(x)}{h} =$

$= \dfrac{log_a(x + h) - \log_a x}{h}$

$= \dfrac{log_a \dfrac{x + h}{x}}{h}$

$= \dfrac{1}{h}log_a ( 1 + \dfrac{h}{x} )$

$= log_a ( 1 + \dfrac{h}{x} )^{\frac{1}{h}}$