[math] How to expand and compute log(a + b)?

I would like to know the complete expansion of log(a + b).

For example

log(a * b) = log(a) + log(b);
log(a / b) = log(a) - log(b);

Similar to this, is there any expansion for log(a + b)?

This question is related to math logarithm

The answer is

In general, one doesn't expand out log(a + b); you just deal with it as is. That said, there are occasionally circumstances where it makes sense to use the following identity:

log(a + b) = log(a * (1 + b/a)) = log a + log(1 + b/a)

(In fact, this identity is often used when implementing log in math libraries).

Source: Stackoverflow.com

Examples related to math

• How to do perspective fixing? • How to pad a string with leading zeros in Python 3 • How can I use "e" (Euler's number) and power operation in python 2.7 • numpy max vs amax vs maximum • Efficiently getting all divisors of a given number • Using atan2 to find angle between two vectors • How to calculate percentage when old value is ZERO • Finding square root without using sqrt function? • Exponentiation in Python - should I prefer ** operator instead of math.pow and math.sqrt? • How do I get the total number of unique pairs of a set in the database?

Examples related to logarithm

• ValueError: math domain error • How do you do natural logs (e.g. "ln()") with numpy in Python? • Python math module • How to expand and compute log(a + b)? • Log to the base 2 in python • How do you calculate log base 2 in Java for integers? • Histogram with Logarithmic Scale and custom breaks • Plot logarithmic axes with matplotlib in python

[math] How to expand and compute log(a + b)?

The answer is

Examples related to math

Examples related to logarithm

Tags