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Coolmath Precalculus Review Calculus Preview
Lesson 22 - Graphing - Exponentials and Logarithms (page 4 of 5)
---- This Precalculus review (Calculus preview) lesson reviews the graphs of exponentials and logarithms

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Now for logarithms.  What was that sound?  Was that your intestines knotting up?  Ah, come on!  Logarithms are easy...  IF you know what they are.

Logarithms are inverses of exponentials!

Inverse functions undo each other, so logs just undo exponentials.  You did this when you used logs to solve exponential equations.  That's all.  Nothing scary.


The inverse of
f( x ) = 2^x  ...  Base 2
is
f^( -1 ) = log base 2( x )  ...  Base 2

Other pairs:

f( x ) = 10^x  and  f^( -1 ) = log( x )  ...  really  log base 10( x )

 

f( x ) = e^( x )  and  f^( -1 ) = Ln( x )  ...  really log base e( x )
 

 

 

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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