The easiest way to solve such problems is to first change it to base 10, as tables for base 10 are easily available. For this we can use the identity log_b a=loga/logb, where loga and logb are to base 10 (if base is not mentioned, it is taken as 10 and if base is e, we use ln - for natural logarithm).
Here, we have log_5 33 and it is equal to log33/log5 and from tables this is equal to
1.5185/0.6990
= 2.1724
For using scientific calculator just press 5 and then button log, which gives 0.6990 (up to four places of decimals), now put this number in memory. Now press 33 and then button log, which gives 1.5185 up to four places of decimals. Now divide by memory recall (which has 0.6990 in memory) to get answer.
