Current location - Education and Training Encyclopedia - Educational Knowledge - Mathematical formula: the method of finding the unknown n power
Mathematical formula: the method of finding the unknown n power
(ln 5.9546)/ln 1. 10 12)

Ln is a natural logarithm

In fact, it is log (1.1012, 5.9546), and the definition is to find this n and then use the formula to find the inverse.

Remember some formulas and you will know what is going on.

When a n = b, then n=log(a, b) (a is subscript, a >;; 0,b & gt0,a! = 1)

Ln(b)=log(e, b) (e is a natural constant)

lg(b)=log( 10,b)

log(a,b)=log(c,b)/log(c,a)

log(a,b^n)=n*log(a,b)

log(a,b*c)=log(a,b)+log(a,c)

log(a,b/c)=log(a,b)-log(a,c)

What is the change of formula?

n

= log( 1. 175/ 1.067,5 1900/8 176)

= LG(5 1900/8 176)/(LG( 1. 175/ 1.067))

= LG(5 1900/8 176)/(LG( 1. 175)-LG( 1.067))

In fact, it is also possible to write all in ln. According to the formula of changing the base number, the base number can be any number, but ln and lg are commonly used.