Analysis and Approaches for IBDP Maths Ebook 1 | Page 42

Your Practice Set – Analysis and Approaches for IBDP Mathematics
SUMMARY POINTs
�
�
Laws of logarithm:
y
1. x � a � y � log x
2. log
a
1�
0
3. log a
1
4. log p �log q � log pq
a a a
5. log p�log q�
log
a a a
a
p
q
6.
n
log
a
p � nlog
a
p
7.
logc
a
logb
a �
logc
b
where a , b , c , p , q and x � 0
Properties of the graphs of
y
x
� :
a
a � 1
0�a
� 1
y increases as x increases
y -intercept � 1
y decreases as x increases
y tends to zero as x tends to y tends to zero as x tends to
negative infinity
positive infinity
Horizontal asymptote: y � 0
� Properties of the graphs of y� log a
x:
a � 1
0�a
� 1
x -intercept � 1
y increases as x increases y decreases as x increases
x tends to zero as y tends to x tends to zero as y tends to
negative infinity
positive infinity
Vertical asymptote: x � 0
Solutions of Chapter 4
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