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Example
Paper 1 – Laws of Logarithm
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Find the value of each of the following , giving your answer as an integer .
( a ) log 2� log 200
1 ( b ) ln � ln e
4.5 e
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Solution
( a )
2 log 2 �log 200 � log ( A1 ) for correct formula 200
1 log 2 �log 200 � log 100
log 2 �log 200 � log10 �2 ( A1 ) for valid approach log 2 � log 200 � � 2 A1
( b ) |
1 � 1
� ln � ln e � ln e 4.5 �
� 4.5
� e
�e
�
|
( A1 ) for correct formula |
|
1
�4.5�0.5 ln �ln e � ln e
4.5 e
1
�4 ln �ln e � ln e
4.5 e
|
( A1 ) for valid approach |
|
1 ln
4.5 e
|
� ln |
e � �
4
|
A1 |
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