AIR MATH

Math Question

What is \( 4 \log _{\frac{1}{2}} w+\left(2 \log _{\frac{1}{2}} u-3 \log _{\frac{1}{2}} v\right) \) written as a single logarithm? \( \log _{\frac{1}{2}} w^{4} u^{2}-v^{3} \) \( \log _{\frac{1}{2}} w^{4}\left(\frac{u^{2}}{v^{3}}\right) \) \( \log _{\frac{1}{2}}\left(\frac{w^{4}}{u^{2} v^{3}}\right) \) \( \log _{\frac{1}{2}}\left(w\left(\frac{u^{2}}{v^{3}}\right)\right)^{4} \)

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