I Can T Understand What This Question Is Asking For

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I can’t understand what this question is asking for.

Consider whether it is possible to represent the surface xy-ayln(z)+4(z^2-1)=0 in the form z=f(x,y), where f is a single-valued function in a neighbourhood of the point (x,y,z)=(0,3,1). The value of a for which this might not be possible is:

 
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