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Expand the logarithm. Assume all expressions exist and are well-defined. Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable. log⁡v7 \log v^7

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Q. Expand the logarithm. Assume all expressions exist and are well-defined. Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable. log⁡v7 \log v^7
  1. Identify Property: Identify the property used to expand log⁡(v7) \log(v^7) . \newlinePower property of the logarithm is used to expand log⁡(v7) \log(v^7) . Power property: log⁡b(mn)=n⋅log⁡b(m) \log_b(m^n) = n \cdot \log_b(m)
  2. Use Power Property: Expand log⁡(v7) \log(v^7) using power property. log⁡(v7)=7⋅log⁡(v) \log(v^7) = 7 \cdot \log(v)

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