3. Which expression is equivalent to log532?
A log 5 + log 32
B log 5 - log 32
C (log 5)(log 32)
D log 32/log 5

Step-by-step explanation:

The Nth power xN of the integer x was initially specified as x multiplied by itself, before the total number N is the same. By means of different generalizations, the concept may be generalized to any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

               log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

                 log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

        log[PQ] = Q.logP