The Exponential function and Logarithmic function, with the base of are related like this:

.   (1)

Laws of Exponents
  1. .   (2)
  2. .   (3)
  3. .   (4)

Using the fact that

  • ,   (5)
we can easily get
  • .   (6)
.   (7)


Laws of Logarithms

  1. .   (8)
  2. .   (9)

It can be easily derived that
  •    (10)

If we replace the base with e ≈ 2.71828…, then logarithm is commonly written as


The Laws of Logarithms can be rewritten:
  •    (11)
  •    (12)
  • .   (13)

Continue to Part 2

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