Algebra II: Natural Logarithm
This is a free lesson from our course in Algebra II 
This lesson explains how to use the laws of logarithm discussed earlier for simplifying logarithmic equations and apply these for solving the assorted word problems. To begin with it may require some patience to understand but hen you walk through some examples with solution, and the instructor's explanation with the help of audio, video presentation and in own hand writing, you find it much simpler. Generally logarithmic word problems involve evaluating a given logarithmic equation at a given point, and solving for a given variable. E.g. if the intensity of a gunshot is expressed by equation I = (2.5 x 1013)I0 and noise level Db(decibels) is given by 10log[ I I0 ], the later equation yields noise level of about 134 decibels.  (More text below video...)
<h2> Natural logarithm</h2> <p> video, AlgebraII, practice questions, quizzes, subject, math help, complex numbers, add complex numbers, subtract complex numbers, operations on complex numbers, associative law, commutative law, distributive property, example.</p> <p> explains how to simplify the expression involving natural logarithm (ln) and e.</p>
Other useful lessons:
Solving logarithmic equations
Evaluate value of a logarithmic expression
The laws of logarithm
Solving assorted equations using logarithms
Convert logarithmic expression from one base to another
Is logarithmic statement sometimes, always or never true
(Continued from above) But exponential word problems almost always work for the growth / decay formula:
     A = Pert
Where "A"; is the quantity at the end, "P"; is the quantity in the beginning, "r" is the growth or decay rate, and "t"; is time. For example, in a research project the growth rate constant; for species of 100 bacteria in the beginning (after 6 hours multiplies to 450), will be 0.25/hour. There are a number of rules which enable us to rewrite expressions involving logarithms in different,yet equivalent, ways. These rules are known as the laws of logarithms.. All the laws of logarithms flow directly out of the laws of exponents. The laws apply to logarithms of any base but the same base must be used throughout a calculation.
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