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Logarithms

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Logarithms

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  1. Logarithms Using logarithm notation

  2. 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..

  3. 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

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

  5. Log properties… Investigate the following…