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Rules of Logarithmic and Exponential Functions

Rules of Logarithmic and Exponential Functions. 1. Which of these would be hardest to solve algebraically?. ?. We do have a function that we can perform here that would actually help us solve for an unknown exponent. Logarithmic Functions.

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Rules of Logarithmic and Exponential Functions

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  1. Rules of Logarithmic and Exponential Functions 1

  2. Which of these would be hardest to solve algebraically? ? We do have a function that we can perform here that would actually help us solve for an unknown exponent.

  3. Logarithmic Functions By the way, the log with base e (loge ) has a special notation: Examples: Ex 1) Ex 2) a) b)

  4. Did You Know that this means this? We will find out why shortly

  5. Laws of Logs Really?  and therefore...

  6. Did You Know This?

  7. Ex 3 a)

  8. Only the most recent versions of the TI-84 have a log function with a variable base. But how would we do this on older calculators? How about using a log function that is on there like base 10? Change of Base Formula = 5

  9. These two equations say the same thing which tells us something: The log and exponential functions are inverses of each other This also tells us that algebraically, each can be used to “undo” the other What do I mean by this? Just watch… We can also do this This gives us these two expressions to remember and

  10. So let’s recap… And for the calculator… Which can be done using the two programmed bases More on this one soon…

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