Shared Flashcard Set

Details

Properties of Log Functions
Beecher Algebra & Trig 4.4
5
Mathematics
Undergraduate 1
03/22/2008

Additional Mathematics Flashcards

 


 

Cards

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.)
 
Supporting users have an ad free experience!