If a number doubles it is raised to what power?

The answer really depends on what number you are doubling.

Let's say that you wish to double the number a (which we assume is greater than 0).

If we're raising a to the nth power, then n must satisfy the following equation:

an = 2a

Taking the natural log on both sides,

n log a = log (2a),

n = log (2a) / log a.

So if we double the number a, it is raised to the log (2a) / log a power.