Write $$ \frac{1}{2} \log \left(x^{4} ight)-3 \log (x) $$ as a single logarithmic expression A. $$ \log \left(x^{\frac{3}{2}} ight) $$ B. $$ -\log (x) $$ C. $$ \frac{\log \left(x^{\frac{4}{3}} ight)}{ ext { D. } \frac{1}{4} \log \left(x^{3} ight)} $$

Question

Write $$ \frac{1}{2} \log \left(x^{4}ight)-3 \log (x) $$ as a single logarithmic expression A. $$ \log \left(x^{\frac{3}{2}}ight) $$ B. $$ -\log (x) $$ C. $$ \frac{\log \left(x^{\frac{4}{3}}ight)}{	ext { D. } \frac{1}{4} \log \left(x^{3}ight)} $$

Cox Murray · Accepted Answer

The simplified expression is $$ -\log(x) $$, which corresponds to option B.

Write \( \frac{1}{2} \log \left(x^{4}\right)-3 \log (x) \) as a single logarithmic expression A. \( \log \left(x^{\frac{3}{2}}\right) \) B. \( -\log (x) \) C. \( \frac{\log \left(x^{\frac{4}{3}}\right)}{\text { D. } \frac{1}{4} \log \left(x^{3}\right)} \)

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Write \( \frac{1}{2} \log \left(x^{4}\right)-3 \log (x) \) as a single logarithmic expression A. \( \log \left(x^{\frac{3}{2}}\right) \) B. \( -\log (x) \) C. \( \frac{\log \left(x^{\frac{4}{3}}\right)}{\text { D. } \frac{1}{4} \log \left(x^{3}\right)} \)

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Solución paso a paso

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