You can put this solution on YOUR website!
From the problem context, I am going to presume that "log" with an unspecified base is base rather than the more commonly accepted base 10. You will avoid a great deal of ambiguity in the future if you use as the natural logarithm function of meaning and reserve to mean .
We wish to prove:
Assume
And use algebra to obtain an identity.
Take the natural log of both sides:
Use the properties of logarithms:
and
to write
Which is true for all in the domain of
Therefore is true for all in the domain of .
Q.E.D.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
