THE LAWS OF LOGARITHMS Patterns & Relations #3. Prerequisites

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Transcript of THE LAWS OF LOGARITHMS Patterns & Relations #3. Prerequisites

  • THE LAWS OF LOGARITHMSPatterns & Relations #3

  • Prerequisites

  • Answers to Prerequisites1. a) x6b) 108c) am+nd) x12e) 1010f) amng) x4h) 104i) am-n

    2. a) 3b) 8

    3.

  • Law of Logarithms for PowersRead p.79 of your textOne example is in base 10The second example is in base a

    The law states:

  • Example

  • You trySolve the equation 5x = 40 to 5 decimal places.

  • The solution

  • Another Example

  • You try

  • The solution

  • Law of Logarithms for MultiplicationRead p.81 of your textOne example is in base 10The second example is in base a

    The law states:

  • Example

  • You trySolve the equation 15 x 1.08n = 20 000 to 1 decimal place.

  • The solution

  • Law of Logarithms for Division

    The law states:

  • Example

  • You trySimplify: log550 log5 0.4

  • You try

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