Can anyone please give me a method of how to turn a number into its index form. Example: 144 as a power of 2. I know the answer (which is 12) , I just need to find a way to write it down in calculations. ( I'm only using logic and not the "proper" way of finding the answer)

Which value is not a solution of 8x^3 – 1 = 0

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Rewrite 9 log, x2 in a form that does not use exponents. 9log, x = log, x