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Definition df-logb 23606
 Description: Define the logb operator. This is the logarithm generalized to an arbitrary base. It can be used as logb for "log base B of X". In the most common traditional notation, base B is a subscript of "log". The definition is according to Wikipedia "Complex logarithm": https://en.wikipedia.org/wiki/Complex_logarithm#Logarithms_to_other_bases (10-Jun-2020). (Contributed by David A. Wheeler, 21-Jan-2017.)
Assertion
Ref Expression
df-logb logb
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-logb
StepHypRef Expression
1 clogb 23605 . 2 logb
2 vx . . 3
3 vy . . 3
4 cc 9526 . . . 4
5 cc0 9528 . . . . 5
6 c1 9529 . . . . 5
75, 6cpr 3995 . . . 4
84, 7cdif 3430 . . 3
95csn 3993 . . . 4
104, 9cdif 3430 . . 3
113cv 1436 . . . . 5
12 clog 23408 . . . . 5
1311, 12cfv 5592 . . . 4
142cv 1436 . . . . 5
1514, 12cfv 5592 . . . 4
16 cdiv 10258 . . . 4
1713, 15, 16co 6296 . . 3
182, 3, 8, 10, 17cmpt2 6298 . 2
191, 18wceq 1437 1 logb
 Colors of variables: wff setvar class This definition is referenced by:  logbval  23607  logbmpt  23629  logbfval  23631
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