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LogReview

# LogReview - some other quantity Remember that ln(x t =...

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The Natural Logarithmic Function: Some review The Exponential and Logarithmic Functions The natural logarithm is a function defined over the interval (0, ) by dt t x x = 1 1 ) ln( or the natural logarithm gives the area under a graph of 1/t from 1 to x. Notice that ln(1) = 0. Logarithms can be defined to any positive base, not just e . The ln function is useful for solving equations in which the unknown appears as the exponent of
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Unformatted text preview: some other quantity. Remember that ln(x t ) = t*ln(x). The sense in which the base e logarithm is the most natural is that it can be defined easily in terms of a simple integral and this is not true for other logarithms. The inverse of the natural logarithmic function is the exponential function. If e x = y, x = ln(y), for any x and for y > 0....
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