Logs (a) and (b) represent logarithms based on b.

The so-called bottoming formula is log(a)(b)=log(n)(b)/log(n)(a).

Deduction:

Logarithm Logarithm (a) and (b) Let a = n x and b = n y.

Then log (a) (b) = log (n x) (n y)

According to the basic formula 4 of logarithm: log (a) (m n) = nlog (a) (m) and the basic formula 5: log (a n) (m) =1/nlog (a) (m).

Get log (n x) (n y) = y/X。

From a = n x and b = n y, y = log (n) (b) and x = log (n) (a).

Then there is: log (a) (b) = log (n x) (n y) = log (n) (b)/log (n) (a).

Proof: log(a)(b)=log(n)(b)/log(n)(a).