9/12/2014
Prove
the Change-of-Base formula: logb
a =
logc
a /
logc
b
Scroll down for the solution.
9/12/2014
Solution.
Let
x
=
logb
a →
bx
=
a.
Taking
log to the base c
of
both sides:
logc
bx
=
logc
a,
so that
x
logc
b =
logc
a
and
solving for x:
x
=
logc
a
/
logc
b