Question

prove the third law of logarithm

Answer 1

Ioga(Mn) = n Ioga(M)

Let loga(Mn) = x ⇒
a^x = M^n

and loga(M) = y
⇒ a^y = M

Now,
a^x = M^n = (a^y)^n = a^(ny)

Therefore, x = ny or,
loga M^n = n loga M [putting the values of x and y].

Answer 2

Answer:

it is proved above...........