Chapter 5

5annualinterestrate

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Unformatted text preview: 
 
 
 Evaluate:
 
 
 1)

 log10 
 
 
 
 
 
 
 
 
 
 
 2)


 log 5 5 5 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 In
general
 log b b = 1
 
 Properties
of
Logarithms

(5.4)
 
 Rules:


 
 1)

a.

 log b b = 
 
 
 






b.

 log b 1 = 
 
 
 2)

 log b PQ = 
 
 ex:

Simplify

 log 50 + log 2 = 
 
 
 
 p 3)

 log b ( ) 
=
 Q 
 ex:

Simplify
 log 8 56 − log 8 7
 
 
 
 
 4)

 log b P n = 
 
 ex:

Simplify
 log 2 5 16 
 
 
 
 
 
 
 
 
 5)

 log b b x = 


 
 
 
 for
all
real
x.
 
 6)

 b log b x = 
 
 
 
 for
x>0
 
 
 
 
 
 
 For
the
rest
of
the
section
we
will
learn
how
to
apply
the
above
properties.
 
 
 Ex:

Write
the
following
expression
as
a
single
logarithm
with
coefficient
1:
 1 log b 4 + 3[log b (1 + x ) − log b (1 − x )] 
 2 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Ex:

Use
log
properties
to
expand...
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This note was uploaded on 02/08/2011 for the course MATH 3 taught by Professor Staff during the Winter '08 term at UCSC.

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