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se the rules of logarithms to write the following expression in terms of ln(𝑥) and ln(𝑦).ln(𝑥3𝑦)=

Question

se the rules of logarithms to write the following expression in terms of ln(𝑥) and ln(𝑦).ln(𝑥3𝑦)=

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Solution

The expression ln(x^3y) can be rewritten using the properties of logarithms.

Step 1: Apply the rule of logarithms that says the logarithm of a product is the sum of the logarithms. This gives us ln(x^3) + ln(y).

Step 2: Apply the rule of logarithms that says the logarithm of a power is the product of the power and the logarithm. This gives us 3*ln(x) + ln(y).

So, ln(x^3y) = 3*ln(x) + ln(y).

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The logarithmic expression

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