Question

plz give the solution step by step​

Answer 1

Step-by-step explanation:

$f(x) = \frac{ log(x) - log(5) }{x - 5} \\ \\ \\ \\ f(x) = \frac{ \frac{1}{x} }{1} \: \: \: \: using \: l \: hospital \: rule \\ \\ \\ f(x) = \frac{1}{5} \: \: \: \: for \: \: x \: not \: equal \: to \: 5 \\ \\ therefore \: \: \: f(x) \: \: \: is \: \: \: continuos.$