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Exponents and Logarithms
alg2per4 Leah E.
40
Mathematics
10th Grade
12/07/2008
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Term
log8512=3 in exponential form
 Definition
83=512 in logarithm
Term
log84=2/3 in exponential form
 Definition

82/3=4 in logarithm
Term
y=3(5/2)x, growth or decay?
 Definition
show an example of growth.
Term
y=0.4(1/3)x growth or decay?
 Definition
show an example of decay.
Term

log3x=5

 Definition

x=243
Term
3x=729
 Definition

x=6
Term

log4x=5

 Definition
x=1024
Term
log337=x
 Definition
x=7
Term
log24 + log28
 Definition

log24=2

log28=3

2+3=5!
Term

Write an exponential function:

(0,3) (-1,6)

 Definition
y=3(1/2)x
Term
logbx=y in exponent form
 Definition
by=x
Term

log100.001=x

 Definition
-3=x
Term
log327x=?
 Definition

3x=?
Term
log25n=3/2
 Definition

n=125
Term
log381=4 exponent form
 Definition
34=81 logarithm form
Term
x0=1
 Definition

x=any real number
Term
log31/81= -4
 Definition

3-4=1/81
Term
log6216=3
 Definition
63=216
Term
77761/5=6
 Definition
log77766=1/5
Term
log84=2/3
 Definition
82/3=4
Term
log61296=4
 Definition
64=1296
Term
log51/625=-4
 Definition
5-4=1/625
Term

What property is this?

logbmn=logbm + logbn

 Definition
Show an example of what the product property is.
Term

What property is this?

logbm/n= logbm - logbn

 Definition
Show an example of the quotient property.
Term

What property is this?

logbmp= plogbm

 Definition
Show an example of the power property.
Term

what does log mean?

 Definition

how else can log10 be expressed?
Term

What is this called?

logan = logbn/logba

 Definition
Show an example of change of base.
Term

log25

show after change of base.

 Definition

log5/log2

what is this before change of base?
Term
log2215=9
 Definition
29=512
Term
55=3125
 Definition
log53125=5
Term
73=343
 Definition
log7343=3
Term
log72401=4
 Definition
74=2401
Term
83=512
 Definition
log8512=3
Term

log9729=3

 Definition
93=729
Term
log61/1296=-4
 Definition
6-4=1/1296
Term
7-3=1/343
 Definition
log71/343=-3
Term
27=128
 Definition
log2128=7
Term
2-8=1/256
 Definition
log21/256=-8
Term

log462

use the power property to rearrange.

 Definition

2log46

reverse the power property and rearrange.
Term

log425

rearrange using change of base.

 Definition

log25/log4

what was this before the change of base property was applied.
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