Question

$log_{5}(75)$

Answer 1

We can solve this by changing to the the common base:

$\log_a (x) = \dfrac{\log_b(x)}{\log_b(x)}$

So in this case, we change the base to 10:

$\log_5 75 = \dfrac{\log 75}{log 5}$

$\log_5 75 = 2.68}$

Answer: 2.68