Logarithms

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# Logarithms - PowerPoint PPT Presentation

Logarithms. Using logarithm notation. Activity 1. Write the following as x = …. Y = 3x Y = x 2 Y = sin x Y = 2 x. We need to have a way of writing the inverse of this. Logarithmic notation. 2 x = 8. 2 3 = 8. What is the value of x?.

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## Logarithms

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### Logarithms

Using logarithm notation

Activity 1

Write the following as x = ….

Y = 3x

Y = x2

Y = sin x

Y = 2x

We need to have a way of writing the inverse of this..

Logarithmic notation

2x=8

23=8

What is the value of x?

3 (the index) is known as the logarithm of 8 to base 2.

We could write this as log28 =3.

Write the following exponentials in log form:

26 = 64

81 = 34

54 = 625

Y = 2x

Log264 = 6

Log381 = 4

Log5625 = 4

x = log2y

Generalising…

If a number is expressed in exponential form as y = ax,then index x is known aslogay

Log properties…

Investigate the following…