What Are Expanding Logarithms?
The logarithmic formula is a common formula in mathematics. If a ^ x = N (a> 0, and a 1), then x is called the logarithm of N with a as the base and recorded as x = log (a) N), where a is written at the bottom right of log. Where a is called the base of the logarithm and N is called the true number [1] . Usually we call the base 10 logarithm the common logarithm, the base logarithm e is called the natural logarithm.
- (M, NR)
- in case
- log (1 / a) (1 / b) = log (a ^ -1) (b ^ -1) =-1logab / -1 = loga (b)
- loga (b) * logb (a) = 1
- loge (x) = ln (x)
- lg (x) = log10 (x)
- (xlogax) '= logax + 1 / lna
- Among them, a in logax is the base and x is the real number;
- (logax) '= 1 / xlna
- Special i.e. a = e
- (logex) '= (lnx)' = 1 / x [4]