Final answer:
The correct transformation of log(a.d) using properties of logarithms is log(a) + log(d), reflecting the property that the logarithm of a product is the sum of the logarithms. So, the correct option is B. logy a•logbd
Step-by-step explanation:
In mathematics, the logarithmic property states that the logarithm of a product of two numbers is equal to the sum of the logarithms of those numbers, expressed as log(xy) = log(x) + log(y).
Applying this property to the expression log(a.d), where a, b, and d are positive numbers, the correct transformation is log(a) + log(d).
This result arises from breaking down the logarithm of the product a.d into the sum of the logarithms of its factors, following the fundamental logarithmic rule.
This property is crucial for simplifying logarithmic expressions and finding equivalent forms in mathematical computations involving exponents and logarithms.
So, the correct option is B. logy a•logbd