Exponential relationships and logarithms

A condition where the rate of change of a variable at any point in time is proportional to the value of the variable at that time, or 

A function whereby the x variable becomes the exponent of the equation y=e.  

We are normally used to x being represented in equations as the base unit (i.e. y = x2). In the exponential function, it becomes the exponent (y=ex), which conveys some very particular properties. 

Represents the numerical value 2.71828 and is the base of natural logarithms. Represented by the symbol e.  

The power (x) to which a base must be raised in order to produce the number given as for the equation x=logbase(number). 

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