Final answer:
The equivalent expression to log(20/3) is 'log(20) - log(3)' based on the logarithm property that the log of a quotient is the difference between the logs of the numerator and the denominator.
Step-by-step explanation:
The question relates to the properties of logarithms and asks which of the given expressions is equivalent to a certain mathematical expression involving logs. The relevant property to use here is that the logarithm of a quotient (the result of division) is the difference between the logarithms of the numerator and the denominator (log(a/b) = log(a) - log(b)). This property is true regardless of the logarithm's base, whether it is the common logarithm (log), which is based on 10, or the natural logarithm (ln), which is based on the mathematical constant e.
Therefore, to find the expression equivalent to log(20/3), we need to look for an expression that represents the logarithm of 20 minus the logarithm of 3. The correct choice is b) log (20) - log (3), as this directly applies the property that the logarithm of a division equals the difference of the logarithms.