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

Teaching Kids Programming: Videos on Data Structures and Algorithms

The logarithm functions are the inverse of exponential functions. For example: $tex_135d37a3c298f256bfbefd5c0c067adb Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$ is the inverse of $tex_76c33c63b45e6d566e33b222afc93f68 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$ and mathematically speaking, they are mirrored by the line $tex_2e6139b6b4959f402e6373053b68e37d Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$

log-and-exponential-function

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

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that is $tex_0413c71b83270f6cc2875a0af50a3f38 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$ and $tex_a08af9307566584801c20f84f1513bb8 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$
So $tex_c668d744bb1441fad579ebf9cda19080 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$
And we can plug in x and y value so that $tex_dd1bf83726fe9243d4dce4489b53a480 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$

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

let $tex_1890745fb31f10ec8e2eed831fc98ca3 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$ and $tex_4d9c8abbb5aa840bfd9bfb296a5a3919 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$
that is $tex_0413c71b83270f6cc2875a0af50a3f38 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$ and $tex_a08af9307566584801c20f84f1513bb8 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$
So $tex_6f5177237bb6331de0d6fc4e35fa315a Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$
And we can plug in x and y value so that $tex_99a67b3f2afaabfee55b37f7ce59c4c1 Teaching Kids Programming - Proof of Logarithm Rules: log(ab)=log(a)+log(b) and log(a/b)=log(a)-log(b)$