Exponential and Logarithmic Functions and Equations
      Rules and properties of logarithms
         Natural logarithm and common logarithm conversions
         Changing the base different logarithmic identities
Changing the base different logarithmic identities
Using the identity

In a similar way

therefore,    

Similarly,
and

Example:   If   log 2 x = 7  then  log 4 2x = ?.
Solution:
Example:   If   a = log 10 then  log 10 25 = ?.
Solution:
Example:   Find the value of the expression
Solution:
Example:   Find the value of the expression
Solution:
Example:   Find the value of the expression
Solution:
Example:    If   a = log 5 and  b = log 3  then  log 30 8 = ?.
Solution:
Example:   Find the value of the expression
Solution:
Pre-calculus contents F
Copyright 2004 - 2020, Nabla Ltd.  All rights reserved.