Use the definition of a logarithm to prove 
. Hint: Let 
and 
. Then, 
and 
.
Definitions:
Borderline Personality Disorder
A mental health disorder characterized by unstable moods, behavior, and relationships, with individuals often experiencing intense episodes of anger, depression, and anxiety.
Psychoticism
Proneness to psychotic-like symptoms, such as illusions.
Borderline Personality Disorder
A psychological condition marked by fluctuating emotions, actions, and interpersonal connections.
DSM-5
The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a publication by the American Psychiatric Association that classifies and provides criteria for diagnosing mental disorders.
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