Bringing down the floor

Algebra Level 4

If c c is a positive real number number that is not equals to 1 such that ( 13 x ) log c 13 = ( 2 x ) log c 2 \large (13x)^{\log_c 13} = (2x)^{\log_c 2} for non-zero x x , find the value of 1 x \dfrac1x .


The answer is 26.

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1 solution

Matías Bruna
Sep 5, 2015

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