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Solving Log Equations

There are two basic forms for solving logarithmic equations:

               1 ) Log ( blob ) = #

               2 ) Log ( blob ) = Log ( blob )

Not every equation will start out in these forms, but you'll be able to use the tricks from the last section to get them there.

With these forms, we'll just need one big thing to finish them off:

THE POWER OF INVERSES!

Let's review for a minute:

What do inverse functions do to each other?

If you don't know that off the top of your head, go back and review that stuff or you're going to be one miserable puppy!

OK, what do inverse functions do to each other?

They undo each other!

Remember that 3^x and Log to the base 3( x ) are inverses...
So, 3^x undoes Log to the base 3( x ) !

 

Remember that 10^x and Log( x ) (really Log to the base 10( x ) )
are inverses...  So, 10^x undoes Log( x ) !

 

Remember that e^x and Ln( x ) (really Log to the base e( x ) )
are inverses...  So, e^x undoes Ln( x ) !

 

Also remember that, whatever you do to one side of an equation, you have to do to the other.