Algebra II: The Laws of Logarithm
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 logbx = n means bn = x i.e. the base with that exponent produces x. In this logb x = n is called the logarithm form and bn = x is called the exponential form. For example, the exponential form log232 = 5 is 25 i.e. 32.  (More text below video...)
<h2> The laws of logarithm</h2> <p> video, AlgebraII, practice questions, quizzes, subject,math help, logarithms, laws of logathim, sum of the logarithms.</p> <p> 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.</p>
Other useful lessons:
Solving logarithmic equations
Evaluate value of a logarithmic expression
Solving assorted equations using logarithms
Natural logarithm
Convert logarithmic expression from one base to another
Is logarithmic statement sometimes, always or never true
(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. logbxy = logbx + logby
(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. logbxy = logbx - logby (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 bxn = n logbx(say log93 = 3log9).
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