- Log of Both Sides Theorem
If A, B, and b are positive real numbers
with b not equal to 1, then
logbA = logbB
is equivalent to A = b.
- Logarithmic Equations
Log Type I: The unknown is the logarithm.
Log Type II: The unknown is the base.
Log Type III: The logarithm of an unknown is
equal to a number.
Log Type IV: The logarithm of an unknown is equal
to the logarithm of a number.
- Laws of Logarithms
Let A, B, and b be positive numbers
(b not equal to 1) and let p be any real number,
First law (Additive):
logb(AB) = logbA + logbB
Second law (Subtractive):
logb(A/B) = logbA
Third law (Multiplicative):
= P logbA
to Section 6
© 2011 Karl J. Smith. All rights reserved.