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

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for 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