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Question: 6 - $\log_{a}x.\log_{10}a.\log_{a}5$ - $3^{\log_{10}(x/10)} = 9^{\log_{100}x+\log_{4}2}$ or x: $\fra...

6 - log⁡ax.log⁡10a.log⁡a5\log_{a}x.\log_{10}a.\log_{a}5

  • 3log⁡10(x/10)=9log⁡100x+log⁡423^{\log_{10}(x/10)} = 9^{\log_{100}x+\log_{4}2} or x: 56\frac{5}{6}
Answer

The question is ill-posed and cannot be solved as stated.

Explanation

Solution

The provided input is ambiguous and does not form a well-defined mathematical equation. The most plausible interpretation of the input, assuming it represents a single equation structured similarly to a provided example, leads to a transcendental equation that does not have an elementary algebraic solution. The proposed solution x=5/6x = 5/6 does not satisfy this equation. Therefore, the question as stated cannot be solved.