Logarithmic degrees is calculated by multiplying the exponent of the sublogarithmic expression by the same logarithm, but without the degree.
logb (x y) = y ⋅ logb x
This property must meet the following conditions:
- b>0 and b≠1;
- x y>0.
The above formula can be considered in the opposite direction, namely:
Coefficient before logarithm can be introduced into the sublogarithmic expression in the form of its degree.
y ⋅ logb x = logb (x y)
As for any logarithm, here: b>0 and b≠1, x> 0
examples:
- log4 63 = 3 ⋅ log4 6
- log12 57 = 7 ⋅ log12 5
- 4 ⋅ log7 9 = log7 94