let's say that this thing right over here evaluates to y so log base b of a is equal to y and let's say that that this thing over here evaluates to z so log base b of c is equal to z now, what we know is this thing right over here, this thing right over here or this thing right over here tells us tells us that b, to the x power is equal to a times c now, this right over here is telling us that b to the y power is equal to a and this over here is telling us that b to the z power is equal to c