Question

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Answer 1

$\log_y{\sqrt[3]{x}}\cdot\log_z{y^4}\cdot\log_x{\sqrt[4]{z^3}}\\\\=\dfrac {\log(x^{\frac {1}{3}})}{\log y}\cdot\dfrac {\log{y^4}}{\log z}\cdot\dfrac {\log(z^{\frac {3}{4}})}{\log x}\\\\=\dfrac {\frac {1}{3}\log x}{\log y}\cdot\dfrac {4\log y}{\log z}\cdot\dfrac {\frac {3}{4}\log z}{\log x}\\\\=\dfrac {1}{3}\cdot4\cdot\dfrac {3}{4}\\\\=1$