Exponential and logarithmic functions

Exponential and logarithmic functions are two important types of mathematical functions commonly used in many fields, including mathematics, physics, economics, and engineering. Exponential functions have the form f(x) = a^x, where a is a positive constant called the base of the function. These functions have the property that the value of the function increases or…

Intersection of a circle with a straight line or a circle

The intersection of a circle and a straight line or a circle can take different forms depending on the relative positions and sizes of the objects involved. Intersection of a circle and a straight line: If a circle and a straight line lie in the same plane, they can intersect in three different ways: Intersection…