How do you calculate #log_4 78# with a calculator?

1 Answer
Aug 6, 2016

Answer:

#x = 3.1427#

Explanation:

Some calculators can calculate logs with bases other than base 10.
But for all calculators, follow this method:

#log_4 78 = x#

Write in index from:

#4^x = 78" the variable is in the index - use logs"#

#xlog_10 4 = log_10 78#

#x = (log_10 78)/(log_10 4)#

#x = 3.1427#

This can also be obtained directly using "The change of base rule"