Find the value of the expression 2 ( _4 2000 )^6 + 3 ( _5 2000 )^6 .

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Find the value of the expression 2(log⁡42000)6+3(log⁡52000)6.\frac{2}{\left(\log_4 2000\right)^6}+\frac{3}{\left(\log_5 2000\right)^6}.

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