fill in the blank

the ______________ of logarithms state that log (xy)= logx + log

rules of logs ?

log of a product rule ?

check your text, it should give it a name.

To fill in the blank, we need to recall the properties of logarithms.

The correct property that completes the statement is "product property of logarithms."

The product property of logarithms states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers. In other words:

log(xy) = log(x) + log(y)

This property is used when we need to simplify or manipulate logarithmic expressions involving products.