![]() In this definition y logbx y log b x is called the logarithm form and by x b y x. ![]() We usually read this as log base b b of x x. If b b is any number such that b > 0 b > 0 and b 1 b 1 and x >0 x > 0 then, y logbx is equivalent to by x y log b x is equivalent to b y x. When condensing logarithms, our goal is to compress the expressions altogether by using different logarithmic properties. Here is the definition of the logarithm function. The next section will show you how condensing logarithms is the opposite of expanding logarithms. Sometimes we apply more than one rule in order to expand an expression. Expanding Logarithms Taken together, the product rule, quotient rule, and power rule are often called properties of logs.
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