LOGARITHMS

 

Definition:  is the power to which b must be raised to yield x.

 

In other words,  = y is equivalent to x =  .

 

 

Example:  = 3 means that  = 1000.

 

Problem:  If  = 3, find x.

 

Answer:   5

Solution:  = 3  = 125.  Therefore,  x = 5

 

Problem:  If  = x, find x

 

Answer:  -2

 Solution :  = x,   = .01.  Therefore, x = -2

 

Problem:  If  = 5, find x.

 

Answer:  32

Solution:  = 5   = x.  Solution:  x = 32