Which property of logarithms states that logb(MN) can be expressed as a sum?

The property of logarithms that states logb(MN) can be expressed as a sum is indeed correct. This property is known as the product property of logarithms. According to this property, when you take the logarithm of a product of two numbers, you can separate it into the sum of the logarithms of the individual numbers.

In mathematical terms, this property can be expressed as logb(MN) = logbM + logbN. This means that instead of calculating the logarithm of the product directly, you can find the logarithm of each factor separately and then add those results together. This is particularly useful for simplifying complex logarithmic expressions or when solving equations involving logarithms.

The other options relate to different properties of logarithms but do not pertain to the product property. For instance, the statement logb1 = 0 refers to the fact that the logarithm of 1 in any base is always zero, since any number raised to the power of zero equals one. The statement logbb = 1 expresses the idea that the logarithm of a base number to itself is always one, reflecting the fundamental definition of logarithms. The last property, logb(M/N) = logbM - log