How do you calculate #Log_5 77#?

1 Answer
George C.
Jun 9, 2016

#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#

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