e un seul logarithme, l'expression suivante:
\[
2 \log x^{5}-4 \log 2 x^{3}+3 \log 4 x^{4}
\]

Answer

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Answer

Apply properties 2 and 3: \( \boxed{\log{\frac{x^{10}}{(2x^3)^4(4x^4)^3}}} \)

Steps

Step 1 ：Apply property 1: \( 10\log{x} - 12\log{2x^3} + 12\log{4x^4} \)

Step 2 ：Apply properties 2 and 3: \( \boxed{\log{\frac{x^{10}}{(2x^3)^4(4x^4)^3}}} \)