1.8 KiB
1.8 KiB
title
| title |
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| Basic Log Rules and Expanding Log Expressions |
Basic Log Rules and Expanding Log Expressions
The following are commonly used basic log rules:
Logarithm Product Rule
logb (x * y) = logb (x) + logb (y)
Logarithm Quotient Rule
logb (x / y) = logb (x) - logb (y)
Logarithm Power Rule
logb (xy) = y * logb (x)
Logarithm of Negative Number
logb (x) is undefined when x < 0
Logarithm of 0
logb (0) is undefined
limx → 0+ logb (x) = -infinity
Logarithm of 1
logb (1) = 0
Logarithm of the Base
logb (b) = 1
Logarithm of Infinity
lim x → infinity logb (x) = infinity
Logarithm Base Switch Rule
logb (c) = 1 / logc (b)
Logarithm Base Change Rule
logb (x) = logc (x) / logc (b)