Logarithms Year 11 Maths Extension. Logarithms Examples.

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Presentation transcript:

Logarithms Year 11 Maths Extension

Logarithms

Examples

Answers

What Similarity Can you see in the Next slide to do with the Logarithm Laws?

Logarithm Laws

Compare

The index laws can be used to establish corresponding rules for calculations involving logarithms. It is important to remember that each rule works only if the base, a, is the same for each term.

Solve The following Questions (“,)

Answers

Solve

Answer

Solve

Answer (a)

Answer (b)

Answer (c)

CALCULATOR TIME!!!!

Logarithms to the base 10

Solving logarithmic equations

Examples

Examples

Examples

Examples

Points to Remember!!!!

logarithmic graphs

Note your Rules!!!! A > 0 and m, n > 0

Plotting logarithmic graphs steps for plotting this graph: y10 y xx, y /10(1/10, -1) (1, 0) (10, 1)

Plotting logarithmic graphs y10 y xx, y /10(1/10, -1) (1, 0) (10, 1)

Example y2y2y xx, y /2(1/2, -1) (1, 0) (2, 1) 22 4(4, 2)