I have 2 equations: y=log_2(x), y=ax
I would like to solve for a where they intersect at exactly one point over the reals.
Graphically I can determine that a must be somewhere between 0.53072 and 0.53077.
I do not know how to go about solving an equation like this, please help me.
I would like the working / a method of solving which gives the answer in exact form.
Usage of advanced functions such as the Lambert W function is perfectly fine.
Edit (I also changed it to a, instead of x, which is what I meant):
I want a to cause log_2(x), y=ax to touch at exactly 1 point.