Input
log(4 X, 2)
Exact result
log(2)/log(4 X)
Alternate form
log(2)/(log(X) + log(4))
Alternate form assuming X>0
log(2)/(log(X) + 2 log(2))
Roots
(no roots exist)
Series expansion at X=0
log(2)/log(4 X) + O(X^2)
(generalized Puiseux series)
Series expansion at X=∞
log(2)/log(4 X) + O((1/X)^2)
(generalized Puiseux series)
Derivative
d/dX(log(4 X, 2)) = -log(2)/(X log^2(4 X))
Indefinite integral
integral log(4 X, 2) dX = 1/4 log(2) li(4 X) + constant
Limit
lim_(X-> ± infinity) log(2)/log(4 X) = 0
Alternative representation
log(4 X, 2) = log(2)/log(4 X)