Algebra II: Solving assorted equations using logarithms
 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...)
Other useful lessons:
 Solving logarithmic equations Evaluate value of a logarithmic expression The laws of logarithm Natural logarithm 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.
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