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THE LAWS OF LOGARITHMS Patterns & Relations #3

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Prerequisites

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Answers to Prerequisites 1. a) x 6 b) 10 8 c) a m+n d) x 12 e) 10 10 f) a mn g) x 4 h) 10 4 i) a m-n 2. a) 3b) 8 3.

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Law of Logarithms for Powers Read p.79 of your text One example is in base 10 The second example is in base a The law states:

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Example

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You try… Solve the equation 5 x = 40 to 5 decimal places.

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The solution

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Another Example

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You try… Determine log 3 14 to 5 decimal places.

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The solution

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Law of Logarithms for Multiplication Read p.81 of your text One example is in base 10 The second example is in base a The law states:

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Example

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You try… Solve the equation 15 x 1.08 n = 20 000 to 1 decimal place.

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The solution

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Law of Logarithms for Division The law states:

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Example

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You try… Simplify: log 5 50 – log 5 0.4

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You try…

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Textwork p.83/ 1-19

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