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For any positive numbers a, b, and d, with b1, log(a.d) =

For any positive numbers a, b, and d, with b1, log(a.d) =-example-1

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Final answer:

The logarithm of the product of numbers 'a' and 'd' is equal to the sum log(a) + log(d), demonstrating one of the key properties of logarithms.

Step-by-step explanation:

The question pertains to the properties of logarithms, specifically relating to the logarithm of a product. According to the logarithm rules, the logarithm of a product of two numbers is the sum of the logarithms of those numbers. Therefore, if 'a' and 'd' are positive numbers, then log(a.d) is equivalent to log(a) + log(d). This property makes it possible to break down complex logarithmic expressions into simpler terms, which can be easier to compute, especially when using logarithm tables or calculators. It is also a foundational concept for many algebraic and calculus problems.

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