State true or false:
If $x^{y} = z$ , then $y = l o g_{z} x$ .

True

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False

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Solution

The correct option is B False
Since, $x^{y} = z$
$⟹ log$ of $z$ to the base $x$ is $y$
$⟹ y = l o g_{x} z$
Hence, given statement is false.

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