SOLUTION: Please help me. How to prove that log b x- log b y = log b (x/y). (* "b" should be smaller letter) Thank you.

Question 1113137: Please help me. How to prove that log b x- log b y = log b (x/y). (* "b" should be smaller letter)
Thank you.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
The property of exponents (*) will be used. This can be easily proved.
Let <�> (1)
Let <�> (2)
Let <�> (3)
(property (*) used on last step)
Picking off just this part:

and taking log base b of both sides:

Substituting (2) and (3) for v and z, respectively, completes the proof:

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