Logarithmic Property of the Quadrature of the Hyperbola
Logarithmic Property of the Quadrature of the Hyperbola
For , the natural logarithm is the signed area under the curve between 1 and . Its essential property, that , arises from area-preserving symmetries of the curve.
a>0
ln(a)
y=1/x
a
ln(ab)=ln(a)+ln(b)