Using the properties from Theorem 2.2 that you just proved, and the fact that logb x = logb y exactly when x = y (for any base b > 1), justify the following additional properties of logarithms: 1 For...

Using the properties from Theorem 2.2 that you just proved, and the fact that logb x = logb y exactly when x = y (for any base b > 1), justify the following additional properties of logarithms:

1 For any real numbers b > 1 and x > 0, we have that b[logbx] = x.

2. For any real numbers b > 1 and a, n > 0, we have that n[logba] = a[logbn].