**9/12/2014
**Prove
the Change-of-Base formula: log_{b}*
a *=
log_{c}*
a */
log_{c}*
b*

**Scroll
down for the solution.**

**9/12/2014
**Solution.
Let

Taking log to the base

log

*x*
log_{c}*
b *=
log_{c
}*a
*and
solving for *x*:*x
*=
log_{c
}*a
*/
log_{c}*
b *