Here are the basic logarithm laws - quite handy for simplifying complex calculations


  • Product Rule:
    The logarithm of a product is the sum of the logarithms of the individual factors.

  • Quotient Rule: The logarithm of a quotient is the difference between the logarithm of the numerator and the logarithm of the denominator.

  • Power Rule: The logarithm of a number raised to a power is the product of the power and the logarithm of the number.

  • Change of Base Rule: This rule allows you to convert logarithms from one base to another.

  • Logarithm of the Base: The logarithm of the base to itself is always 1.

  • Logarithm of One: The logarithm of 1 to any base is always 0.


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