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Logarithms
alg2per3KaleighS
22
Mathematics
10th Grade
12/07/2008

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Term
Log1
Definition
0 in Logrithmic Form
Term
Log10
Definition
common Log
Term
exponential function
Definition
y=abx
Term
y = 2x -- Growth or Decay?
Definition
Growth.
Term
Log0
Definition
Undefined.
Term
log4 16 = 2 --> what in exponential form
Definition
42 = 16
Term
f(x) = bx is the inverse of
Definition
g(x) = logbx
Term
What is the change of base formula?
Definition

logan = logbn

           _____

           logba

Term
Change log512 into common log.
Definition
log1012
log105
Term
log105 = x in exponent form
Definition
10x= 5
Term
Name examples of "real-life" Logarithms.
Definition
Measuring loudness with decibles, the Ricter Scale for how severe earthquakes are; answers may vary.
Term
logbb = ?
Definition
1 (because b1 = b)
Term
What is exponential growth?
Definition
Where an exponential function grows gradually.
Term
What is exponetial decay?
Definition
Where a n exponential function decreases.
Term
If a > 0 and b > 1, then...

Decay or Growth?
Definition
Growth
Term
If a > 0 and 0<b<1, then...

Decay or Growth?
Definition
Decay
Term
What is the Property of Equality for Exponential Functions?
Definition
"If b is a positive number other than 1, then bx=by if and only if x = y."
Term
Is y = (2/3)x growth or decay?
Definition
Decay.
Term
43 = 64 in logrithmic form
Definition
log464 = 3
Term
log4 x = 5/2

Solve for x.
Definition

x = 45/2

x = (22)5/2

x = 32

Term
Solve log5(p2 - 2) = log5p
Definition

log5(p2 - 2) = log5p

p2 - 2 = p
p2 - p - 2 = 0
(p-2)(p+1) = 0
p = 2, -1
p = 2.

Term
log23 = 1.5850. What is the value of log248?
Definition
Log248=log2 (24 x 3)
4 + log23
4 + 1.5850 =
5.5850.
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