Exponential and Logarithmic Functions and Equations
      Changing the base – different logarithmic identities
         Natural logarithm and common logarithm conversions
         Changing the base – different logarithmic identities examples
Changing the base – different logarithmic identities
Using the identity

In a similar way

therefore,    

Similarly,
and

Changing the base and different logarithmic identities examples
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:
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