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Expand each logarithm 71) log x^(3)

Expand each logarithm\newline7171) log⁡x3 \log x^{3}

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Full solution

Q. Expand each logarithm\newline7171) log⁡x3 \log x^{3}
  1. Identify Property: Identify the property used to expand log⁡(x3)\log(x^3). We will use the power property of logarithms to expand log⁡(x3)\log(x^3). Power property: log⁡b(mn)=n⋅log⁡b(m)\log_b(m^n) = n \cdot \log_b(m)
  2. Use Power Property: Apply the power property to log⁡(x3)\log(x^3). Using the power property, we can write log⁡(x3)\log(x^3) as 3×log⁡(x)3 \times \log(x). log⁡(x3)=3×log⁡(x)\log(x^3) = 3 \times \log(x)

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