let me do that in that same green so i'm just writing the same truth i'm writing as an exponential function or exponential equation instead of a logarithmic equation so b to the zth power is equal to c these are all, this is the same statement this is the same statement or they're the same truth said in a different way and this is the same truth said in a different way well if we know that, if we know that a is equal to this, is equal to b to the y, we can, and c is equal to b-z then we can write b to the x power is equal to b to the y power that's what a is, we know that already times b to the z power times b to the z power and we know, from our exponent properites we know from our exponent properties