In this video series I show you how to solve logarithmic and natural logarithmic equations. When solving logarithmic equations it is important to isolate the function and then change to exponential ...

In this video series, you will learn the basics of logarithmic and exponential functions. We will start off by converting between exponential and logarithmic expressions. We do this so that we can ...

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Mathematicians use the logarithm to express the inverse function of exponentiation. That is, the logarithm of a given number p is the exponent to which another fixed number, the base b, must be raised ...

Abstract: We introduce a method for proving almost sure termination in the context of lambda calculus with continuous random sampling and explicit recursion, based on ranking supermartingales. This ...

John Schmitt is Professor of Mathematics and has been at Middlebury College since 2005. He received his B.A. from Providence College, his M.S. from the University of Vermont, and a Ph.D. from Emory ...

India is cautiously recalibrating its economic relationship with China, easing restrictions on trade and investment while ...

Abstract: As people become more accustomed to online buying, an increasing number of individuals are purchasing cell phones over the internet. In this paper, the price elasticity of mobile phones from ...

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A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...