Question

state and prove the first law of logarithm​

Answer 1

Answer:

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Step-by-step explanation:

Proof of Change of base Rule Law:

logb M = y ⇒ by = M, and loga b = z ⇒ az = b. Therefore x = yz or, loga M = Iogb M × loga b [putting the values of x, y, and z]. i.e., the logarithm of a positive number a with respect to a positive base b (≠ 1) is equal to the reciprocal of logarithm of b with respect to the base a.