4.2 LogarithmicFunctions

4.2 LogarithmicFunctions - MAC2233 (3.4) North FIU, MDC-

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MAC2233 (3.4) FIU, MDC- North 4.2 Logarithmic Functions The inverse function of  y = f(x) = a x   is   x = a y , which is equivalent to   the logarithmic function  y = log  a  x .   This  equivalence is used to convert between logarithmic and exponential functions.  If the base is the number  e , then  x = e  if and only if  y = ln x .   Properties of common and natural logarithms:  (1)  log b  1 = 0  ,  log b b = 1   (b ≠ 1, b > 0) ,   ln1 =  0,  and  ln e = 1;   (2)  = b log M b M = r b log b r b e b ln = and  ln e b  = b and if    u  and  v   are any positive numbers, then (3)  Equality Rule:    = = b b log u log v u v   (4)  Product Rule:   ( 29 = + b b b log uv log u log v ; (5)  Power Rule:   = r b b log u r log u ; (6)  Quotient Rule:   = - b b b u log log u log v v ;  (7)  Conversion formulas:  b a b log M log M log a =   and
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/04/2012 for the course MAC 2233 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

Page1 / 3

4.2 LogarithmicFunctions - MAC2233 (3.4) North FIU, MDC-

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online