# Shared Flashcard Set

## Details

Properties of Log Functions
Beecher Algebra & Trig 4.4
5
Mathematics
03/22/2008

## Additional Mathematics Flashcards

Term
 The Product Rule
Definition
 For any positive numbes M and N and any logarithmic base a,      logaMN = logaM + logaN. (The logarithm of a product is the sum of the logarithms of the factors.)
Term
 The Power Rule
Definition
 For any positive number M and any logarithmic base a, and any real number p,      loga M p = p loga M. The logarithmic of a power of M is the exponent times the logarithm of M.)
Term
 The Quotient Rule
Definition
 For any positive numbes M and N and any logarithmic base a,      loga M/N = loga M - loga N. (The logarithm of a quotient is the logarithm of the numerator minus the logarithm of the denominator.)
Term
 The Logarithm of a Base to a Power
Definition
 For any base a and any real number x,      loga ax = x. (The logarithm, base a, of a to a power is the power.)
Term
 A Base to a Logarithmic Power
Definition
 For any base a and any positive real number x,      aloga x = x. (The number a raised to the power loga x is x.)
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