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DEFINE:
onetoone function
f(a) = f(b) only when a = b.

DEFINE:
Inverse Function
If the ordered pairs of a function g are the ordered pairs of a function f w/ the order of the coordinates reversed, then the g is the inverse function of f.

DEFINE:
Exponential Function
 The exponential function w base b is defined by
 f(x)= b^{x}
 where b>0, b!=1, and x is a real number.

DEFINE:
Logarithmic Function
 If x>0 and b is a positive constant except for 1 (b!=1), then y=log_{b}x iff b^{y}=x.
 ******
 1. log_{b}b = 1
 2. log_{b}1 = 0
 3. log_{b}b^{x }= x
 4. b^{logbx }= x

LAWS OF LOG.s:
1. Product Property
log_{b}M*N = log_{b}M + log_{b}N

LAWS OF LOG.s:
2. Quotient Property
log_{b}(M/N) = log_{b}M  log_{b}N

LAWS OF LOG.s:
3. Power Property
the log_{b}M^{P }= P*log_{b}M

LAWS OF LOG.s:
4. Change of Base Property
 If x, a, and b are positive real numbers w/ a != 1 and b != 1, then
 log_{b}x = log_{a}x
 log_{b}b

