Simplify fully: log a + log b – log b^2

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To simplify the expression log a + log b – log b^2, one should utilize the properties of logarithms. The relevant identities include the product rule, which states log a + log b = log(ab), and the power rule, which indicates log b^2 = 2 log b. Applying these rules, the expression can be rewritten as log a + log b - 2 log b, simplifying to log a - log b. This further reduces to log(a/b), providing the final simplified form. Understanding these logarithmic properties is essential for solving similar problems.
Paulo2014
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Homework Statement



Simplify fully: log a + log b – log b^2



The Attempt at a Solution



I don't even know where to start...
 
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Paulo2014 said:
I don't even know where to start...
The "properties of logarithms" section of your textbook seems like the obvious place to start.
 
Amount of time you spent typing this, you could have found the property Hurkyl is talking about :p
 

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