why is everything to the power of zero equal one
using the powers why is to the zero power always equel one
Use this generic equation: y = x^0
We solve this with logarithms.
log(y) = 0 * log(x)
log(y) = 0
As you can see, no matter what number we choose for x,
the equation always has zero on the right side. There is only
one number that has a zero as the logarithm: 1.
log(1) = 0
1 = 8^0 log(1) = 0 * log(8) = 0
1 = 34^0 log(1) = 0 * log(34) = 0
1 = 987^0 log(1) = 0 * log(987) = 0
1 = 308826^0 log(1) = 0 * log(308826) = 0