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Solving Exponential Equations

TRY IT:

Solve10 = e^( 2t )

 

What about this one?

Solve1300 = 100e^( .25t )

Before we can zap that e, we need to clear a path...  the 100 is in the way!  (It's the most common mistake to forget to do this.)

So, get rid of the 100:

1300 / 100 = 100e^(.25t ) / 100 ... 13 = e^( .25t )

Now, bring in the e killer!

Ln( 13 ) = Ln( e^( .25t ) ) ... Ln( 13 ) = .25t ... t = Ln( 13 ) / .25 = approximately 10.2598

 

YOUR TURN:

Solve18 = 2e^( 4t )