Question

Would/is this be a correct identity ?

Answer 1

\[\huge\color{blue}{ Log_xy =y/x } \]\[when:~~~~~\huge\color{blue}{ y\cancel{ = } 1 } \]

Answer 2

\(\bf \large log_xy=z\implies x^z=y\implies \Large x=\sqrt[z]{y}\implies x=y^{\frac{1}{z}}\)

Answer 3

but "z" itself, won't factor to y/x though