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Chem 101 Logs

# Chem 101 Logs - n = log x For x = e m m = ln x Note that...

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The  logarithm  of a number is the  power  to which a  base  must be raised to get the number.  n =  base power   logarithm  n power   ....   Example: ....   1000 = 10 3 For  Base 10 : logarithm 1000 =  3 Any number  can be expressed as a base raised to a  power ....   Example: ....   5.2 = 10 0.716 For  Base 10 : logarithm 5.2 =  0.716 Two types of logarithms are used in general chemistry: ... 1. Common  logarithm, abbreviated  log , whose base is  10 . 2. Natural  logarithm, abbreviated  ln , whose base is the irrational number  e = 2.71828... . Common Logarithm Natural Logarithm log 10 = 1 ln e = 1 For: x = 10 n   n = log x
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Unformatted text preview: n = log x ... For: x = e m m = ln x ... Note that log x is not equal to ln x. Rules for common and natural logs ... Summary ln (ab) = ln a + ln b ... Multiply variables - Add logarithms ln (a/b) = ln a - ln b Divide variables - Subtract logarithms ln a n = n ln a Raise variable to a power - Multiply log by the exponent . e ln a = a To Clear a natural log - Raise log expression to base e. 10 log a = a To Clear a common log - Raise log expression to base 10....
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