Take the natural logarithm (ln) of both sides of the equation to cancel the exponent (e). For example, if
y=Aex
log transform both sides and apply the rules of logarithms:
ln(y)=ln(Aex)
ln(y)=ln(A)+ln(ex)
ln(y)=ln(A)+x
rearrange in terms of x:
x=ln(y)-ln(A), or more simply
x=ln(y/A)
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)
Cut the exponent in half.
A squared number has an exponent of 2. So x squared = x2
22 x 10=
exponent exponent
exponent exponent
the answer would be exponentthe n in x indicating the number of factor of x is exponent
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
An exponent is any number denoted in the following manner. 2x where x is an exponent.
Exponent form is a short way of notating the number of times a factor repeats. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
32
The exponent
exponent
the exponent
The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)
Cut the exponent in half.