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Use the properties of logarithms to expand logz7x.Each logarithm should involve only one variable and should not have any exponents or fractions.Assume that all variables are positive.=logz7x

Question

Use the properties of logarithms to expand logz7x.Each logarithm should involve only one variable and should not have any exponents or fractions.Assume that all variables are positive.=logz7x

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Solution

The properties of logarithms allow us to break down complex expressions into simpler parts. Here's how you can expand logz(7x) using these properties:

  1. Apply the product rule: The logarithm of a product is the sum of the logarithms of its factors. So, logz(7x) can be written as logz(7) + logz(x).

So, the expanded form of logz(7x) is logz(7) + logz(x).

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