Extended number lec 8 abbreviated.pdf

# Extended number lec 8 abbreviated.pdf - Log10 Log10 Log10...

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Log 10 10 = Log 10 1 = Log 10 1000 = Log 10 100000 = Log 10 0.1 = Log 10 0.001 = This is really asking: 10 to the WHAT gives an answer of 10 This is really asking: 10 to the WHAT gives an answer of 100000

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Written as Ln (as opposed to Log) Ln (e 3 ) = 3 Ln (e 0 ) = 0 Ln (e -4 ) = -4 Ln (1.64) =0.495 How???
Written as Ln (as opposed to Log) Ln (e 3 ) = 3 Ln (e 0 ) = 0 Ln (e -4 ) = -4 Ln (1.64) =0.495 Log (9) = 0.954

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Capital “E” is also important in index notation It is a calculator’s (or computer’s ) shorthand It essentially means “x 10 to the power of..” e.g. 5.2E7 is 5.2 x 10 7 = 52000000 1.65E-2 is 1.65 x 10 -2 =0.0165
There are several scales which use logarithmic measures. This means that a change of 1 unit is actually a tenfold change…and 2 units is 100 fold Examples:

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There are several scales which use logarithmic measures. This means that a change of 1 unit is actually a tenfold change…and 2 units is 100 fold Examples: pH (acidity)
There are several scales which use logarithmic measures.

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