LOG(a,1/a·y)

Input

log(a, 1/a y)

Root

a!=0, log(a)!=0, y = a

Properties as a real function

Domain

{y element R : (y>0 and y = a^2 and a!=0 and a!=1) or (y>0 and 0<a<1) or (y>0 and a>1)}

Range

{z element R : 0<a<1 or a>1}

Series expansion at y=0

log(y/a)/log(a) + O(y^6) (generalized Puiseux series)
Big‐O notation »

Derivative

d/dy(log(a, y/a)) = 1/(y log(a))

Indefinite integral

integral log(y/a)/log(a) dy = (y (log(y/a) - 1))/log(a) + constant (assuming a complex-valued logarithm)

Alternative representation

log(a, y/a) = log(y/a)/log(a)
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