This is a free lesson from our course in Algebra II
In this lesson you'll learn the basic concepts of
laws of logarithms and how to use the laws of logarithms for
simplify or rewrite the expressions. You will find some examples with solution,
and the instructor explains all that with the help of audio, video presentation
and in own hand writing. You know that logb^{x} = n
means b^{n} = x i.e. the base with that exponent produces
x. In this logb^{ x} = n is called the logarithm
form and b^{n} = x is called the exponential form. For
example, the exponential form log2^{32} = 5 is 2^{5} i.e. 32.
(More text below video...)
(Continued from above) The three laws of logarithms that can be applied to rewrite the expressions
are:
• the logarithm of a product is equal to the sum of the logarithms of each factor e.g. log_{b}xy = log_{b}x
+ log_{b}y (say log10 + log5 + log4 = 3log2 + 2log5). • the logarithm
of a quotient is equal to the logarithm of the numerator
minus the logarithm of the denominator e.g. log_{b}xy = log_{b}x
 log_{b}y (say log40  log10 = log4). • the logarithm of a power
of x is equal to the exponent of that power
times the logarithm of x e.g. log _{b}x^{n} =
n log_{b}x(say log9^{3} = 3log^{9}).
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