Question

prove he fourth law of logarithms ​

Answer 1

Answer:

4. Proof of Change of base Rule Law:

loga M = logb M × loga b

Let Ioga M = x ⇒ ax = M,

logb M = y ⇒ by = M,

and loga b = z ⇒ az = b.

Now, ax = M= by - (az)y = ayz

Therefore x = yz or, loga M = Iogb M × loga b [putting the values of x, y, and z].

Step-by-step explanation:

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