Free interactive math game: Logarithm of a Root — log₄(√4) = 1/2. Part of the Logarithms category on MathKite.
Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.
Logarithms of roots.
Rewrite the root as a fractional exponent, then bring that exponent out in front of the logarithm.
For the square root of 8 in base 2, the logarithm is half of 3, which is 1.5.
Ignoring the root. A square root halves the logarithm and a cube root takes a third of it.