Question

How do you calculate `Log_5 77`?

Answer 1

`log_5 77 = (log 77)/(log 5) ~~ 2.698958`

Explanation:

If you have a calculator which can calculate natural or common logs, then you can make use of the change of base formula:

`log_a b = (log_c b) / (log_c a)`

So in our example, you might use:

`log_5 77 = (log 77)/(log 5) ~~ 1.88649/0.69897 ~~ 2.698957`

Or with natural logarithms:

`log_5 77 = (ln 77)/(ln 5) ~~ 4.3438054/1.6094379 ~~ 2.698958`