Chapter 5

Twohours laterthepopulationis3800 a

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Unformatted text preview: the
following
expression:
 
 x4 x2 + 9 log b ( )
 x−5 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Ex:

If
 log b 2 = A , log b 3 = B , log b 5 = C 





 
 Write
 log b 0.3 
in
terms
of
A,
B,
C.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Ex:

Write
 log b 8 b 
in
terms
of
A.
 
 
 
 
 
 
 
 
 
 
 Ex:

Solve
the
following
equations
using
the
log
properties.
 
 1)

 3e1 + t = 2
 
 
 
 
 
 
 
 
 
 
 
 
 2) 102 x + 3 = 280 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Change
of
base
formula:
 
 log b x log x ln x log a x = = = 
 log b a log a ln a 
 
 
 Ex:

Convert
in
decimal
form log 2 10 = 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Are
the
following
properties
True/False?

Use
log
properties
to
justify
your
answer.
 
 
 1 AB 1. logA + logB - log C = log( )
 2 C 
 
 
 
 
 
 
 
 1 2. ln e = 
 2 
 
 
 
 
 
 
 
 
 3. lnx 3 = ln 3x 
 
 
 
 
 
 
 
 4. lnx 3 = 3 ln x 
 
 
 
 
 5.

 ln 2x 3 = 3 ln 2x 
 
 
 
 
 
 
 
 6.

 log a C...
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