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Bell Ringer (in Math Journal)

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1 Bell Ringer (in Math Journal)
How can you convert from exponential to logarithmic form? What base is the log button on your calculator? What are the laws of exponents?

2 Logarithmic Equations
Monday, October 20, 2014

3 remember To convert from an exponential 25 = 32 → log2 32 = 5 And to convert from a logarithm to an exponential log2 32 = 5 → 25 = 32

4 Properties of Logs-- NOTES
There are 7 laws of exponents and 3 properties of logarithms that you need to know. Remember, logarithms are the inverse of exponentials and some rules apply…

5 Properties of Logs-- NOTES
Like “when you multiply, you add” logb m + logb n= logb mn

6 Properties of Logs-- NOTES
And “when you divide, you subtract” 2) logb m – logb n = logb m n

7 Properties of Logs-- NOTES
And “when you raise a power to a power, you multiply.” 3) p logb m = logb mp

8 Natural log ln means natural log.
The inverse of ln is e which is a number like π. The same rules apply.

9 Solving Log Equations If possible, simplify, get log of the same bases equal and “drop the log.” If not, simplify and convert to exponential form, then solve.


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