How do you calculate log_4 78 with a calculator?

1 Answer
Aug 6, 2016

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"