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Teaching Kids Programming – Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)

log-and-exponential-function

Teaching Kids Programming: Videos on Data Structures and Algorithms

The logarithm functions are the inverse of exponential functions. For example: is the inverse of and mathematically speaking, they are mirrored by the line

log-and-exponential-function

Proof of Logarithm Rule: log(ab)=log(a)+log(b)

let and
that is and
So
And we can plug in x and y value so that

Proof of Logarithm Rule: log(a/b)=log(a)-log(b)

let and
that is and
So
And we can plug in x and y value so that

–EOF (The Ultimate Computing & Technology Blog) —

803 words
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