Prove the logarithmic property?
Let #b, x, y in RR^+ # such that #b!= 1#
Prove that:
#log_(1/b)x=-log _b x#
I have tried doing it quite a few times each time using a different method, but I still do something wrong. I think I am just making a small mistake somewhere but I have run out of ideas on how to tackle this one.
Thank you very much.
Let
Prove that:
I have tried doing it quite a few times each time using a different method, but I still do something wrong. I think I am just making a small mistake somewhere but I have run out of ideas on how to tackle this one.
Thank you very much.
2 Answers
Please refer to a Proof in Explanation.
Explanation:
Suppose that,
Please see below.
Explanation:
We know that , for
We take LHS :
Using
Again using