Here is the problem:

Use implicit differentiation to show (prove) that the derivative of y(x)=log_{22}(x) is y'(x) = 22^{x}ln (22).

Here is what I have done so far:

y(x) = (lnx)/(ln 22)

Differentiating,

y'(x) = 1/(x ln 22).

but I do not get what is asked for.