Three Tangled Logarithms

★ 7/10functionsalgebraLogarithms

Problem

Evaluate

1−2log⁡65⋅log⁡103⋅log⁡152log⁡65⋅log⁡103+log⁡103⋅log⁡152+log⁡152⋅log⁡65.\frac{1 - 2\log_6 5 \cdot \log_{10} 3 \cdot \log_{15} 2}{\log_6 5 \cdot \log_{10} 3 + \log_{10} 3 \cdot \log_{15} 2 + \log_{15} 2 \cdot \log_6 5}.

Answer

Solution

Difficulty7/10
Topicsfunctions, algebra, Logarithms

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