Logarithms

Rules of logarithms - log10 and loge for numbers ranging 1 to 1000

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System Log to the base of Terminologi
loga a log to base a
log10 = lg 10 common log
loge = ln e = 2.718281828459..
 natural log
log2 lb 2 log to base 2

Rules for Logarithmic Calculations

logb (xy) = logb x + logb y         (1)

logb (x/y) = logb x - logb y         (2)

logb xp = p logb x         (3)

logb (1/x) = - logb x         (4)

logb b = 1         (5)

logb 1 = 0         (6)

logb x = loga x logb a         (7)

Conversion of Logarithms

lg x = lg e ln x 

   = 0.434294 ln x   (8)

ln x = lg x / lg e

   = 2.302585 lg x  (9)

lb x = 1.442695 ln x

   = 3.321928 lg x  (10)

Log 10 and Log e for numbers ranging 1 to 1000

 

numbers - ln log e log 10

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Related Topics

  • Basics - Basic Information as SI-system, Unit converters, Physical constants...
  • Mathematics - Mathematical rules and laws - areas, volumes, exponents, trigometric functions and more

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