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Saturday, April 13, 2013

Exponential and Logarithmic Functions Alvaro Hurtado

A track down is a relation in which each portion of the domain is paired with exactly one element in the range. Two types of functions argon the exponential functions and the logarithmic functions. Exponential functions atomic number 18 the functions in the form of y = ax, where a is a positive veritable number, great than vigor and not equal to one. Logarithmic functions be the inverse of exponential functions, y = loga x, where a is greater to zero and not equal to one. These functions have certain differences as well as similarities between them. Also they are very useful for respective(a) situations in life.

Logarithmic functions are fairly different from the exponential functions. The freshman difference that we can find between them is in the equations, they are inverse to each other. The logarithmic equation is y = loga x and the exponential equation is y = ax. We can overly make that the essential exponential function is different form the natural logarithmic function. The natural exponential function is y = f(x) = ex and the natural logarithmic function is f(x) = loge x = lnx , where x > 0. Also we can forecast that to graph and exponential function it always has to pass through the point (0,1).

However, both of these functions also have similarities.

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Both of the functions contain an a which has to be greater than zero and less than one. Also when we graph both of the functions we can see that they will never touch an axis because of the rule that a is greater than zero and less than one. To solve exponential functions, you use the selfsame(prenominal) rules set of rules that you use to solve logarithmic functions. (logamn = loga m + loga n, logam / n = loga m...

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