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
Step-by-step explanation:
The expression is equivalent to log(5)32 is log32/log5
According to the law of logarithms
log(a) b = log(10)b/log(10)a
Given the log function expressed as log(5)32
a = 5
b = 32
Substitute
log(5)32 = log32/log5
Hence the expression is equivalent to log(5)32 is log32/log5
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