Applications Of Logarithmic Functions Math

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Applications of logarithmic functions math. Before we start let s talk about earthquakes and how we measure their intensity. The two functions are called inverses of one another much like y x is the inverse of y x2. To solve an exponential or logarithmic word problems convert the narrative to an equation and solve the equation. The logarithmic function with base a denoted loga x is deflned by y loga x if and only if x ay.

Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment population growth and carbon dating. Interest when the interest earned on an investment is simple the investor only earns interest on his initial investment. 4 3 logarithmic functions and their applications duration. Click on the one that you want to review.

Is calculated by the formula a t p 1 r n nt where a t amount after t years p principal. E g since 1000 10 10 10 10 3 the logarithm base. By definition the logarithmic function is directly related to the exponential function. We are going to discuss several types of word problems.

When dealing with a series of multiplications logarithms help count them just like addition counts for us when effects are added. This video is about using logarithmic functions to solve word problems. Math 11011 applications of logarithmic functions ksu deflnition. As with any word problem the trick is convert a narrative statement or question to a mathematical statement.

Logarithms count multiplication as steps. Applications of exponential and logarithmic functions. In exercises ref richterexercise ref decibelexercise and ref phexercise of section ref introexplogs we showed that logarithms are useful in measuring the intensities of earthquakes the richter scale sound decibels and acids and bases ph. Logarithms describe changes in terms of multiplication.

In the examples above each step is 10x bigger. With the natural log each step is e 2 71828 times more. Logarithmic functions and applications college algebra math modeling another common type of non linear function is the logarithmic function. Applications of logarithms just as many physical phenomena can be modeled by exponential functions the same is true of logarithmic functions.

Applications of exponential and logarithmic functions population growth population can fluctuate positively or negatively and can be modeled using an exponential function.