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

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Answer 1 · 2016-08-06T21:28:39

#x = 3.1427#

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"