Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference, or multiple of logarithms. In(1 - x/3x)^3

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Aercolino · Answer 1 · 2021-09-14T03:04:10+0000

Answer:

3 ln(1-x) - 3 ln3 - 3 ln x

Explanation:

We have the following logarithmic expression.

ln(1-x/3x)³

We apply the logarithm power rule.

3 ln(1-x/3x)

We apply the logarithm quotient rule.

3. [ln(1-x) - ln 3x]

We apply the logarithm product rule.

3. [ln(1-x) - (ln3 + ln x)]

3. [ln(1-x) - ln3 - ln x]

We apply the distributive property.

3 ln(1-x) - 3 ln3 - 3 ln x

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Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference, or multiple of logarithms. In(1 - x/3x)^3

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