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IPMAT Indore 2019

Modern Math

>

Logarithms

Hard

If $x, y, z$ are positive real numbers such that $x^{12} = y^{16} = z^{24}$ and the three quantities $3 \log_y x, 4 \log_z y, n \log_x z$ are in arithmetic progression, then the value of $n$ is

Entered answer:

Correct Answer: 16

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