How To: Write a logarithm as a sum or difference of logarithms

Write a logarithm as a sum or difference of logarithms

This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of numerator and denominator according to the rule. Finally, the product of factors is expressed as the sum of factors. Now we see the domain of the term. As the term is a square root of the term it should be greater than zero. The terms where the function has a sign change is plotted on the x axis. Now by watching the most restrictive domain we decide that x should be greater than five.

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