Algebra
LOGARITHMS
Summary
The important information in this chapter is summarized below.
Logarithms Summary
A number L is said to be the logarithm of a positive real number N to the
base b (where b is real, positive, and not equal to 1), if L is the exponent to
which b must be raised to obtain N, or the function can be expressed as
L = Logb N
for which the inverse is
N = bL
Simply stated, the logarithm is the inverse of the exponential
function.
Product = baseexponent
Logbaseproduct = exponent
Logb (ABC) = logb A + logb B + logb C
Logb (A/B) = logb A - logb B
Logb (An) = nlogb A
Logb
= logb A1/n = (1/n)logb A
n
A
Logb 1 = 0
Logb (1/A) = logb 1 - logb A = -logbA
•
Common logs are base 10
•
Natural logs are base e
•
Anti-log is the opposite of a log
Rev. 0
Page 71
MA-02
