How do you calculate log363?

1 Answer
Jul 16, 2016

3.771

Explanation:

Some calculators can work out logs with any base, but we can work it out without that function.

By definition If logab=c, then ac=b

Let log363=x then 3x=63

log3x=log63

xlog3=log63

x=log63log3=3.771

This is the same result we would get using the change of base law.

log363=log1063log103

=3.771