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Logarithms

- Using logarithm notation

Activity 1

Time allowed 2 minutes

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?

The index, 3, 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 as logay

Log properties

Investigate the following

Activity 1

Time allowed rest of lesson

Turn to page 107 of your core 2 book and answer

questions in Exercise B.

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