Question

Change of base formula
\[\log_{5}100 = \frac{log_{10}100}{log_{10}5} = \frac{2}{log_{10}5}\]

Does the base always have to be 10 when doing the change of base formula?
or could be something else?

Answer 1

could be any base > 0

Answer 2

So using base 10 is just more convenient if I'm using a calculator right?

Answer 3

yep...
try this with ln instead of log base 10... you'll find they have the same answer.

Answer 4

Alright, thanks! :D

Answer 5

yw.. May the Fourth be with you...