stated as laws
Logarithm
This concept map was intended to follow the one presented by James J. Vagliardo in his paper found at http://cmc.ihmc.us/papers/cmc2004-270.pdf
function
graph
x-axis
(1, 0)
inverse
exponential function
practical uses
5 Laws of Logarithms (when bubbl.us supports add these)
mapping
sequences
geometric
nonlinear graph
area
curve
reciprocal function
Bubble needs to be upgraded: Graph Goes Here
f(x)=1/x
ln x
uses in math and science
physics
chemistry
geology
biology
describing natural growth and decay
discovery of laws of motion
chaos theory
calculating fractal dimension
number theory
locating primes
interpreting Richter Scale
arithmetic
rate of change
calculus
linear graph
number
exponent
mantissa
characterstic
integer
decimal fraction
base
type
10
e
transcendental number
lim(1+1/n)^n
2.718281828...
common
Briggsian
log x
natural
Napier
ln x
calculating Ph
Bubble needs to be upgraded: log base e of x
Bubble needs to be upgraded: lim as x->0 (x^k -1)/k
computations
multiplication
division
powers
addition
subtraction
roots
multiplication
division
solving exponential equations
domain
{x | x > 0}
range
reals
infinite sum
Bubble needs to be upgraded: Mathematical summation goes here.
ln x
statistics
formulating regressions